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Finding the Fourth Proportional to 21,406.44, 32,113.24 and 7,365.90

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Solution

The fourth proportional to 21,406.44, 32,113.24 and 7,365.90 is: 11,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.44 : 32,113.24 = 7,365.90 : x
  2. Step 2: Convert to fraction form
    21,406.44/32,113.24 = 7,365.90/x
  3. Step 3: Cross multiply
    21,406.44x = 32,113.24 × 7,365.90
  4. Step 4: Simplify right side
    21,406.44x = 236,542,914.52
  5. Step 5: Solve for x
    x = 236,542,914.52/21,406.44
  6. Step 6: Final answer
    x = 11,050.08

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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.