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Finding the Fourth Proportional to 22,697.42, 34,024.25 and 12,159.72

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Solution

The fourth proportional to 22,697.42, 34,024.25 and 12,159.72 is: 18,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.42 : 34,024.25 = 12,159.72 : x
  2. Step 2: Convert to fraction form
    22,697.42/34,024.25 = 12,159.72/x
  3. Step 3: Cross multiply
    22,697.42x = 34,024.25 × 12,159.72
  4. Step 4: Simplify right side
    22,697.42x = 413,725,383.61
  5. Step 5: Solve for x
    x = 413,725,383.61/22,697.42
  6. Step 6: Final answer
    x = 18,227.86

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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.