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Finding the Fourth Proportional to 15,129.96, 22,694.82 and 5,895.96

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Solution

The fourth proportional to 15,129.96, 22,694.82 and 5,895.96 is: 8,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.96 : 22,694.82 = 5,895.96 : x
  2. Step 2: Convert to fraction form
    15,129.96/22,694.82 = 5,895.96/x
  3. Step 3: Cross multiply
    15,129.96x = 22,694.82 × 5,895.96
  4. Step 4: Simplify right side
    15,129.96x = 133,807,750.93
  5. Step 5: Solve for x
    x = 133,807,750.93/15,129.96
  6. Step 6: Final answer
    x = 8,843.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.