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Finding the Fourth Proportional to 12,434.52, 18,642.47 and 7,503

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Solution

The fourth proportional to 12,434.52, 18,642.47 and 7,503 is: 11,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.52 : 18,642.47 = 7,503 : x
  2. Step 2: Convert to fraction form
    12,434.52/18,642.47 = 7,503/x
  3. Step 3: Cross multiply
    12,434.52x = 18,642.47 × 7,503
  4. Step 4: Simplify right side
    12,434.52x = 139,874,414.90
  5. Step 5: Solve for x
    x = 139,874,414.90/12,434.52
  6. Step 6: Final answer
    x = 11,248.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.