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Finding the Fourth Proportional to 22,720.80, 31,353.38 and 12,648.76

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Solution

The fourth proportional to 22,720.80, 31,353.38 and 12,648.76 is: 17,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.80 : 31,353.38 = 12,648.76 : x
  2. Step 2: Convert to fraction form
    22,720.80/31,353.38 = 12,648.76/x
  3. Step 3: Cross multiply
    22,720.80x = 31,353.38 × 12,648.76
  4. Step 4: Simplify right side
    22,720.80x = 396,581,284.61
  5. Step 5: Solve for x
    x = 396,581,284.61/22,720.80
  6. Step 6: Final answer
    x = 17,454.54

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Why These Related Problems?

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