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Finding the Fourth Proportional to 20,886.87, 31,337.70 and 9,201.09

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Solution

The fourth proportional to 20,886.87, 31,337.70 and 9,201.09 is: 13,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.87 : 31,337.70 = 9,201.09 : x
  2. Step 2: Convert to fraction form
    20,886.87/31,337.70 = 9,201.09/x
  3. Step 3: Cross multiply
    20,886.87x = 31,337.70 × 9,201.09
  4. Step 4: Simplify right side
    20,886.87x = 288,340,998.09
  5. Step 5: Solve for x
    x = 288,340,998.09/20,886.87
  6. Step 6: Final answer
    x = 13,804.89

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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.