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Finding the Fourth Proportional to 17,684.94, 24,404.58 and 9,727.14

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Solution

The fourth proportional to 17,684.94, 24,404.58 and 9,727.14 is: 13,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.94 : 24,404.58 = 9,727.14 : x
  2. Step 2: Convert to fraction form
    17,684.94/24,404.58 = 9,727.14/x
  3. Step 3: Cross multiply
    17,684.94x = 24,404.58 × 9,727.14
  4. Step 4: Simplify right side
    17,684.94x = 237,386,766.30
  5. Step 5: Solve for x
    x = 237,386,766.30/17,684.94
  6. Step 6: Final answer
    x = 13,423.10

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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.