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Finding the Fourth Proportional to 13,691.10, 20,534.86 and 4,332.06

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Solution

The fourth proportional to 13,691.10, 20,534.86 and 4,332.06 is: 6,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.10 : 20,534.86 = 4,332.06 : x
  2. Step 2: Convert to fraction form
    13,691.10/20,534.86 = 4,332.06/x
  3. Step 3: Cross multiply
    13,691.10x = 20,534.86 × 4,332.06
  4. Step 4: Simplify right side
    13,691.10x = 88,958,245.61
  5. Step 5: Solve for x
    x = 88,958,245.61/13,691.10
  6. Step 6: Final answer
    x = 6,497.52

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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.