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Finding the Fourth Proportional to 16,221.18, 22,385.24 and 9,505.47

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Solution

The fourth proportional to 16,221.18, 22,385.24 and 9,505.47 is: 13,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.18 : 22,385.24 = 9,505.47 : x
  2. Step 2: Convert to fraction form
    16,221.18/22,385.24 = 9,505.47/x
  3. Step 3: Cross multiply
    16,221.18x = 22,385.24 × 9,505.47
  4. Step 4: Simplify right side
    16,221.18x = 212,782,227.26
  5. Step 5: Solve for x
    x = 212,782,227.26/16,221.18
  6. Step 6: Final answer
    x = 13,117.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.