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Finding the Fourth Proportional to 13,141.16, 19,714.52 and 3,781.08

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Solution

The fourth proportional to 13,141.16, 19,714.52 and 3,781.08 is: 5,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.16 : 19,714.52 = 3,781.08 : x
  2. Step 2: Convert to fraction form
    13,141.16/19,714.52 = 3,781.08/x
  3. Step 3: Cross multiply
    13,141.16x = 19,714.52 × 3,781.08
  4. Step 4: Simplify right side
    13,141.16x = 74,542,177.28
  5. Step 5: Solve for x
    x = 74,542,177.28/13,141.16
  6. Step 6: Final answer
    x = 5,672.42

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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.