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Finding the Fourth Proportional to 13,178.97, 19,761.17 and 4,411.53

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Solution

The fourth proportional to 13,178.97, 19,761.17 and 4,411.53 is: 6,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.97 : 19,761.17 = 4,411.53 : x
  2. Step 2: Convert to fraction form
    13,178.97/19,761.17 = 4,411.53/x
  3. Step 3: Cross multiply
    13,178.97x = 19,761.17 × 4,411.53
  4. Step 4: Simplify right side
    13,178.97x = 87,176,972.23
  5. Step 5: Solve for x
    x = 87,176,972.23/13,178.97
  6. Step 6: Final answer
    x = 6,614.85

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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.