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Finding the Fourth Proportional to 13,691.52, 20,534.14 and 3,831.49

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Solution

The fourth proportional to 13,691.52, 20,534.14 and 3,831.49 is: 5,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.52 : 20,534.14 = 3,831.49 : x
  2. Step 2: Convert to fraction form
    13,691.52/20,534.14 = 3,831.49/x
  3. Step 3: Cross multiply
    13,691.52x = 20,534.14 × 3,831.49
  4. Step 4: Simplify right side
    13,691.52x = 78,676,352.07
  5. Step 5: Solve for x
    x = 78,676,352.07/13,691.52
  6. Step 6: Final answer
    x = 5,746.36

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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.