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Finding the Fourth Proportional to 17,542.27, 24,209.97 and 9,585.67

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Solution

The fourth proportional to 17,542.27, 24,209.97 and 9,585.67 is: 13,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.27 : 24,209.97 = 9,585.67 : x
  2. Step 2: Convert to fraction form
    17,542.27/24,209.97 = 9,585.67/x
  3. Step 3: Cross multiply
    17,542.27x = 24,209.97 × 9,585.67
  4. Step 4: Simplify right side
    17,542.27x = 232,068,783.13
  5. Step 5: Solve for x
    x = 232,068,783.13/17,542.27
  6. Step 6: Final answer
    x = 13,229.12

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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.