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Finding the Fourth Proportional to 17,684.28, 24,404.28 and 9,727.04

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Solution

The fourth proportional to 17,684.28, 24,404.28 and 9,727.04 is: 13,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.28 : 24,404.28 = 9,727.04 : x
  2. Step 2: Convert to fraction form
    17,684.28/24,404.28 = 9,727.04/x
  3. Step 3: Cross multiply
    17,684.28x = 24,404.28 × 9,727.04
  4. Step 4: Simplify right side
    17,684.28x = 237,381,407.73
  5. Step 5: Solve for x
    x = 237,381,407.73/17,684.28
  6. Step 6: Final answer
    x = 13,423.30

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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.