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Finding the Fourth Proportional to 17,757.84, 24,508.80 and 10,684.92

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Solution

The fourth proportional to 17,757.84, 24,508.80 and 10,684.92 is: 14,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.84 : 24,508.80 = 10,684.92 : x
  2. Step 2: Convert to fraction form
    17,757.84/24,508.80 = 10,684.92/x
  3. Step 3: Cross multiply
    17,757.84x = 24,508.80 × 10,684.92
  4. Step 4: Simplify right side
    17,757.84x = 261,874,567.30
  5. Step 5: Solve for x
    x = 261,874,567.30/17,757.84
  6. Step 6: Final answer
    x = 14,746.98

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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.