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Finding the Fourth Proportional to 17,682.76, 24,402.20 and 9,725.52

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Solution

The fourth proportional to 17,682.76, 24,402.20 and 9,725.52 is: 13,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.76 : 24,402.20 = 9,725.52 : x
  2. Step 2: Convert to fraction form
    17,682.76/24,402.20 = 9,725.52/x
  3. Step 3: Cross multiply
    17,682.76x = 24,402.20 × 9,725.52
  4. Step 4: Simplify right side
    17,682.76x = 237,324,084.14
  5. Step 5: Solve for x
    x = 237,324,084.14/17,682.76
  6. Step 6: Final answer
    x = 13,421.21

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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.