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Finding the Fourth Proportional to 12,744.29, 17,585.82 and 7,442.18

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Solution

The fourth proportional to 12,744.29, 17,585.82 and 7,442.18 is: 10,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.29 : 17,585.82 = 7,442.18 : x
  2. Step 2: Convert to fraction form
    12,744.29/17,585.82 = 7,442.18/x
  3. Step 3: Cross multiply
    12,744.29x = 17,585.82 × 7,442.18
  4. Step 4: Simplify right side
    12,744.29x = 130,876,837.89
  5. Step 5: Solve for x
    x = 130,876,837.89/12,744.29
  6. Step 6: Final answer
    x = 10,269.45

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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.