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Finding the Fourth Proportional to 13,700.32, 20,551.24 and 6,686.32

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Solution

The fourth proportional to 13,700.32, 20,551.24 and 6,686.32 is: 10,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.32 : 20,551.24 = 6,686.32 : x
  2. Step 2: Convert to fraction form
    13,700.32/20,551.24 = 6,686.32/x
  3. Step 3: Cross multiply
    13,700.32x = 20,551.24 × 6,686.32
  4. Step 4: Simplify right side
    13,700.32x = 137,412,167.04
  5. Step 5: Solve for x
    x = 137,412,167.04/13,700.32
  6. Step 6: Final answer
    x = 10,029.85

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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.