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Finding the Fourth Proportional to 20,686.32, 31,016.52 and 13,658.88

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Solution

The fourth proportional to 20,686.32, 31,016.52 and 13,658.88 is: 20,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.32 : 31,016.52 = 13,658.88 : x
  2. Step 2: Convert to fraction form
    20,686.32/31,016.52 = 13,658.88/x
  3. Step 3: Cross multiply
    20,686.32x = 31,016.52 × 13,658.88
  4. Step 4: Simplify right side
    20,686.32x = 423,650,924.70
  5. Step 5: Solve for x
    x = 423,650,924.70/20,686.32
  6. Step 6: Final answer
    x = 20,479.76

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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.