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Finding the Fourth Proportional to 13,640.71, 20,455.10 and 6,882.14

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Solution

The fourth proportional to 13,640.71, 20,455.10 and 6,882.14 is: 10,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.71 : 20,455.10 = 6,882.14 : x
  2. Step 2: Convert to fraction form
    13,640.71/20,455.10 = 6,882.14/x
  3. Step 3: Cross multiply
    13,640.71x = 20,455.10 × 6,882.14
  4. Step 4: Simplify right side
    13,640.71x = 140,774,725.23
  5. Step 5: Solve for x
    x = 140,774,725.23/13,640.71
  6. Step 6: Final answer
    x = 10,320.19

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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.