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Finding the Fourth Proportional to 12,541.41, 17,306.55 and 7,508.43

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Solution

The fourth proportional to 12,541.41, 17,306.55 and 7,508.43 is: 10,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.41 : 17,306.55 = 7,508.43 : x
  2. Step 2: Convert to fraction form
    12,541.41/17,306.55 = 7,508.43/x
  3. Step 3: Cross multiply
    12,541.41x = 17,306.55 × 7,508.43
  4. Step 4: Simplify right side
    12,541.41x = 129,945,019.22
  5. Step 5: Solve for x
    x = 129,945,019.22/12,541.41
  6. Step 6: Final answer
    x = 10,361.28

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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.