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Finding the Fourth Proportional to 13,182.88, 19,781.61 and 5,397.16

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Solution

The fourth proportional to 13,182.88, 19,781.61 and 5,397.16 is: 8,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.88 : 19,781.61 = 5,397.16 : x
  2. Step 2: Convert to fraction form
    13,182.88/19,781.61 = 5,397.16/x
  3. Step 3: Cross multiply
    13,182.88x = 19,781.61 × 5,397.16
  4. Step 4: Simplify right side
    13,182.88x = 106,764,514.23
  5. Step 5: Solve for x
    x = 106,764,514.23/13,182.88
  6. Step 6: Final answer
    x = 8,098.72

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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.