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Finding the Fourth Proportional to 17,758.84, 24,517.02 and 10,687

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Solution

The fourth proportional to 17,758.84, 24,517.02 and 10,687 is: 14,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.84 : 24,517.02 = 10,687 : x
  2. Step 2: Convert to fraction form
    17,758.84/24,517.02 = 10,687/x
  3. Step 3: Cross multiply
    17,758.84x = 24,517.02 × 10,687
  4. Step 4: Simplify right side
    17,758.84x = 262,013,392.74
  5. Step 5: Solve for x
    x = 262,013,392.74/17,758.84
  6. Step 6: Final answer
    x = 14,753.97

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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.