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Finding the Fourth Proportional to 22,789.68, 31,454.64 and 13,360.20

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Solution

The fourth proportional to 22,789.68, 31,454.64 and 13,360.20 is: 18,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,789.68 : 31,454.64 = 13,360.20 : x
  2. Step 2: Convert to fraction form
    22,789.68/31,454.64 = 13,360.20/x
  3. Step 3: Cross multiply
    22,789.68x = 31,454.64 × 13,360.20
  4. Step 4: Simplify right side
    22,789.68x = 420,240,281.33
  5. Step 5: Solve for x
    x = 420,240,281.33/22,789.68
  6. Step 6: Final answer
    x = 18,439.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.