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Finding the Fourth Proportional to 17,423.14, 24,044.19 and 9,869.29

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Solution

The fourth proportional to 17,423.14, 24,044.19 and 9,869.29 is: 13,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,423.14 : 24,044.19 = 9,869.29 : x
  2. Step 2: Convert to fraction form
    17,423.14/24,044.19 = 9,869.29/x
  3. Step 3: Cross multiply
    17,423.14x = 24,044.19 × 9,869.29
  4. Step 4: Simplify right side
    17,423.14x = 237,299,083.93
  5. Step 5: Solve for x
    x = 237,299,083.93/17,423.14
  6. Step 6: Final answer
    x = 13,619.77

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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.