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Finding the Fourth Proportional to 12,586.31, 17,367.69 and 7,550.73

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Solution

The fourth proportional to 12,586.31, 17,367.69 and 7,550.73 is: 10,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.31 : 17,367.69 = 7,550.73 : x
  2. Step 2: Convert to fraction form
    12,586.31/17,367.69 = 7,550.73/x
  3. Step 3: Cross multiply
    12,586.31x = 17,367.69 × 7,550.73
  4. Step 4: Simplify right side
    12,586.31x = 131,138,737.91
  5. Step 5: Solve for x
    x = 131,138,737.91/12,586.31
  6. Step 6: Final answer
    x = 10,419.16

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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.