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Finding the Fourth Proportional to 12,641.67, 17,446.32 and 7,605.90

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Solution

The fourth proportional to 12,641.67, 17,446.32 and 7,605.90 is: 10,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.67 : 17,446.32 = 7,605.90 : x
  2. Step 2: Convert to fraction form
    12,641.67/17,446.32 = 7,605.90/x
  3. Step 3: Cross multiply
    12,641.67x = 17,446.32 × 7,605.90
  4. Step 4: Simplify right side
    12,641.67x = 132,694,965.29
  5. Step 5: Solve for x
    x = 132,694,965.29/12,641.67
  6. Step 6: Final answer
    x = 10,496.63

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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.