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Finding the Fourth Proportional to 20,677.65, 31,016.46 and 8,990.87

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Solution

The fourth proportional to 20,677.65, 31,016.46 and 8,990.87 is: 13,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677.65 : 31,016.46 = 8,990.87 : x
  2. Step 2: Convert to fraction form
    20,677.65/31,016.46 = 8,990.87/x
  3. Step 3: Cross multiply
    20,677.65x = 31,016.46 × 8,990.87
  4. Step 4: Simplify right side
    20,677.65x = 278,864,838.35
  5. Step 5: Solve for x
    x = 278,864,838.35/20,677.65
  6. Step 6: Final answer
    x = 13,486.30

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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.