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Finding the Fourth Proportional to 22,102.96, 30,463.68 and 16,124.80

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Solution

The fourth proportional to 22,102.96, 30,463.68 and 16,124.80 is: 22,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.96 : 30,463.68 = 16,124.80 : x
  2. Step 2: Convert to fraction form
    22,102.96/30,463.68 = 16,124.80/x
  3. Step 3: Cross multiply
    22,102.96x = 30,463.68 × 16,124.80
  4. Step 4: Simplify right side
    22,102.96x = 491,220,747.26
  5. Step 5: Solve for x
    x = 491,220,747.26/22,102.96
  6. Step 6: Final answer
    x = 22,224.21

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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.