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Finding the Fourth Proportional to 20,666.71, 31,001.46 and 5,876.77

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Solution

The fourth proportional to 20,666.71, 31,001.46 and 5,876.77 is: 8,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666.71 : 31,001.46 = 5,876.77 : x
  2. Step 2: Convert to fraction form
    20,666.71/31,001.46 = 5,876.77/x
  3. Step 3: Cross multiply
    20,666.71x = 31,001.46 × 5,876.77
  4. Step 4: Simplify right side
    20,666.71x = 182,188,450.08
  5. Step 5: Solve for x
    x = 182,188,450.08/20,666.71
  6. Step 6: Final answer
    x = 8,815.55

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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.