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Finding the Fourth Proportional to 13,154.78, 19,732.17 and 5,364.20

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Solution

The fourth proportional to 13,154.78, 19,732.17 and 5,364.20 is: 8,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.78 : 19,732.17 = 5,364.20 : x
  2. Step 2: Convert to fraction form
    13,154.78/19,732.17 = 5,364.20/x
  3. Step 3: Cross multiply
    13,154.78x = 19,732.17 × 5,364.20
  4. Step 4: Simplify right side
    13,154.78x = 105,847,306.31
  5. Step 5: Solve for x
    x = 105,847,306.31/13,154.78
  6. Step 6: Final answer
    x = 8,046.30

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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.