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Finding the Fourth Proportional to 21,985,762.40, 32,978,643.60 and 16,529,634.80

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Solution

The fourth proportional to 21,985,762.40, 32,978,643.60 and 16,529,634.80 is: 24,794,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985,762.40 : 32,978,643.60 = 16,529,634.80 : x
  2. Step 2: Convert to fraction form
    21,985,762.40/32,978,643.60 = 16,529,634.80/x
  3. Step 3: Cross multiply
    21,985,762.40x = 32,978,643.60 × 16,529,634.80
  4. Step 4: Simplify right side
    21,985,762.40x = 545,124,934,907,357.31
  5. Step 5: Solve for x
    x = 545,124,934,907,357.31/21,985,762.40
  6. Step 6: Final answer
    x = 24,794,452.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.