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Finding the Fourth Proportional to 12,781.68, 17,640.40 and 7,193.76

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Solution

The fourth proportional to 12,781.68, 17,640.40 and 7,193.76 is: 9,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.68 : 17,640.40 = 7,193.76 : x
  2. Step 2: Convert to fraction form
    12,781.68/17,640.40 = 7,193.76/x
  3. Step 3: Cross multiply
    12,781.68x = 17,640.40 × 7,193.76
  4. Step 4: Simplify right side
    12,781.68x = 126,900,803.90
  5. Step 5: Solve for x
    x = 126,900,803.90/12,781.68
  6. Step 6: Final answer
    x = 9,928.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.