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Finding the Fourth Proportional to 22,686.30, 34,036.38 and 11,600.78

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Solution

The fourth proportional to 22,686.30, 34,036.38 and 11,600.78 is: 17,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.30 : 34,036.38 = 11,600.78 : x
  2. Step 2: Convert to fraction form
    22,686.30/34,036.38 = 11,600.78/x
  3. Step 3: Cross multiply
    22,686.30x = 34,036.38 × 11,600.78
  4. Step 4: Simplify right side
    22,686.30x = 394,848,449.29
  5. Step 5: Solve for x
    x = 394,848,449.29/22,686.30
  6. Step 6: Final answer
    x = 17,404.71

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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.