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Finding the Fourth Proportional to 12,781.92, 19,155.16 and 9,659.37

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Solution

The fourth proportional to 12,781.92, 19,155.16 and 9,659.37 is: 14,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.92 : 19,155.16 = 9,659.37 : x
  2. Step 2: Convert to fraction form
    12,781.92/19,155.16 = 9,659.37/x
  3. Step 3: Cross multiply
    12,781.92x = 19,155.16 × 9,659.37
  4. Step 4: Simplify right side
    12,781.92x = 185,026,777.85
  5. Step 5: Solve for x
    x = 185,026,777.85/12,781.92
  6. Step 6: Final answer
    x = 14,475.66

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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.