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Finding the Fourth Proportional to 22,763.68, 34,149.12 and 9,617.92

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Solution

The fourth proportional to 22,763.68, 34,149.12 and 9,617.92 is: 14,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.68 : 34,149.12 = 9,617.92 : x
  2. Step 2: Convert to fraction form
    22,763.68/34,149.12 = 9,617.92/x
  3. Step 3: Cross multiply
    22,763.68x = 34,149.12 × 9,617.92
  4. Step 4: Simplify right side
    22,763.68x = 328,443,504.23
  5. Step 5: Solve for x
    x = 328,443,504.23/22,763.68
  6. Step 6: Final answer
    x = 14,428.40

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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.