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Finding the Fourth Proportional to 13,251.88, 18,294.96 and 7,948

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Solution

The fourth proportional to 13,251.88, 18,294.96 and 7,948 is: 10,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.88 : 18,294.96 = 7,948 : x
  2. Step 2: Convert to fraction form
    13,251.88/18,294.96 = 7,948/x
  3. Step 3: Cross multiply
    13,251.88x = 18,294.96 × 7,948
  4. Step 4: Simplify right side
    13,251.88x = 145,408,342.08
  5. Step 5: Solve for x
    x = 145,408,342.08/13,251.88
  6. Step 6: Final answer
    x = 10,972.66

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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.