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Finding the Fourth Proportional to 13,710.47, 20,553.55 and 6,686.55

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Solution

The fourth proportional to 13,710.47, 20,553.55 and 6,686.55 is: 10,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.47 : 20,553.55 = 6,686.55 : x
  2. Step 2: Convert to fraction form
    13,710.47/20,553.55 = 6,686.55/x
  3. Step 3: Cross multiply
    13,710.47x = 20,553.55 × 6,686.55
  4. Step 4: Simplify right side
    13,710.47x = 137,432,323.04
  5. Step 5: Solve for x
    x = 137,432,323.04/13,710.47
  6. Step 6: Final answer
    x = 10,023.90

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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.