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Finding the Fourth Proportional to 12,781.86, 19,167.28 and 4,459.39

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Solution

The fourth proportional to 12,781.86, 19,167.28 and 4,459.39 is: 6,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.86 : 19,167.28 = 4,459.39 : x
  2. Step 2: Convert to fraction form
    12,781.86/19,167.28 = 4,459.39/x
  3. Step 3: Cross multiply
    12,781.86x = 19,167.28 × 4,459.39
  4. Step 4: Simplify right side
    12,781.86x = 85,474,376.76
  5. Step 5: Solve for x
    x = 85,474,376.76/12,781.86
  6. Step 6: Final answer
    x = 6,687.16

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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.