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Finding the Fourth Proportional to 22,572.10, 33,863.55 and 9,417.16

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Solution

The fourth proportional to 22,572.10, 33,863.55 and 9,417.16 is: 14,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572.10 : 33,863.55 = 9,417.16 : x
  2. Step 2: Convert to fraction form
    22,572.10/33,863.55 = 9,417.16/x
  3. Step 3: Cross multiply
    22,572.10x = 33,863.55 × 9,417.16
  4. Step 4: Simplify right side
    22,572.10x = 318,898,468.52
  5. Step 5: Solve for x
    x = 318,898,468.52/22,572.10
  6. Step 6: Final answer
    x = 14,127.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.