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Finding the Fourth Proportional to 12,753.60, 19,143.09 and 10,440.78

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Solution

The fourth proportional to 12,753.60, 19,143.09 and 10,440.78 is: 15,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.60 : 19,143.09 = 10,440.78 : x
  2. Step 2: Convert to fraction form
    12,753.60/19,143.09 = 10,440.78/x
  3. Step 3: Cross multiply
    12,753.60x = 19,143.09 × 10,440.78
  4. Step 4: Simplify right side
    12,753.60x = 199,868,791.21
  5. Step 5: Solve for x
    x = 199,868,791.21/12,753.60
  6. Step 6: Final answer
    x = 15,671.56

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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.