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Finding the Fourth Proportional to 12,665.90, 17,478.18 and 7,631.75

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Solution

The fourth proportional to 12,665.90, 17,478.18 and 7,631.75 is: 10,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.90 : 17,478.18 = 7,631.75 : x
  2. Step 2: Convert to fraction form
    12,665.90/17,478.18 = 7,631.75/x
  3. Step 3: Cross multiply
    12,665.90x = 17,478.18 × 7,631.75
  4. Step 4: Simplify right side
    12,665.90x = 133,389,143.91
  5. Step 5: Solve for x
    x = 133,389,143.91/12,665.90
  6. Step 6: Final answer
    x = 10,531.36

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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.