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Finding the Fourth Proportional to 20,854.56, 31,286.03 and 9,167.79

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Solution

The fourth proportional to 20,854.56, 31,286.03 and 9,167.79 is: 13,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.56 : 31,286.03 = 9,167.79 : x
  2. Step 2: Convert to fraction form
    20,854.56/31,286.03 = 9,167.79/x
  3. Step 3: Cross multiply
    20,854.56x = 31,286.03 × 9,167.79
  4. Step 4: Simplify right side
    20,854.56x = 286,823,707.13
  5. Step 5: Solve for x
    x = 286,823,707.13/20,854.56
  6. Step 6: Final answer
    x = 13,753.52

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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.