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Finding the Fourth Proportional to 21,836.86, 32,762.22 and 7,796.58

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Solution

The fourth proportional to 21,836.86, 32,762.22 and 7,796.58 is: 11,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,836.86 : 32,762.22 = 7,796.58 : x
  2. Step 2: Convert to fraction form
    21,836.86/32,762.22 = 7,796.58/x
  3. Step 3: Cross multiply
    21,836.86x = 32,762.22 × 7,796.58
  4. Step 4: Simplify right side
    21,836.86x = 255,433,230.22
  5. Step 5: Solve for x
    x = 255,433,230.22/21,836.86
  6. Step 6: Final answer
    x = 11,697.34

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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.