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Finding the Fourth Proportional to 12,781.32, 19,171.50 and 4,461.32

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Solution

The fourth proportional to 12,781.32, 19,171.50 and 4,461.32 is: 6,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.32 : 19,171.50 = 4,461.32 : x
  2. Step 2: Convert to fraction form
    12,781.32/19,171.50 = 4,461.32/x
  3. Step 3: Cross multiply
    12,781.32x = 19,171.50 × 4,461.32
  4. Step 4: Simplify right side
    12,781.32x = 85,530,196.38
  5. Step 5: Solve for x
    x = 85,530,196.38/12,781.32
  6. Step 6: Final answer
    x = 6,691.81

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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.