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Finding the Fourth Proportional to 29,572.28, 40,809 and 16,143.92

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Solution

The fourth proportional to 29,572.28, 40,809 and 16,143.92 is: 22,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,572.28 : 40,809 = 16,143.92 : x
  2. Step 2: Convert to fraction form
    29,572.28/40,809 = 16,143.92/x
  3. Step 3: Cross multiply
    29,572.28x = 40,809 × 16,143.92
  4. Step 4: Simplify right side
    29,572.28x = 658,817,231.28
  5. Step 5: Solve for x
    x = 658,817,231.28/29,572.28
  6. Step 6: Final answer
    x = 22,278.20

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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.