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Finding the Fourth Proportional to 13,251.52, 19,882.71 and 7,009.86

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Solution

The fourth proportional to 13,251.52, 19,882.71 and 7,009.86 is: 10,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.52 : 19,882.71 = 7,009.86 : x
  2. Step 2: Convert to fraction form
    13,251.52/19,882.71 = 7,009.86/x
  3. Step 3: Cross multiply
    13,251.52x = 19,882.71 × 7,009.86
  4. Step 4: Simplify right side
    13,251.52x = 139,375,013.52
  5. Step 5: Solve for x
    x = 139,375,013.52/13,251.52
  6. Step 6: Final answer
    x = 10,517.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.