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Finding the Fourth Proportional to 13,034.88, 17,981.46 and 8,314.20

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Solution

The fourth proportional to 13,034.88, 17,981.46 and 8,314.20 is: 11,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.88 : 17,981.46 = 8,314.20 : x
  2. Step 2: Convert to fraction form
    13,034.88/17,981.46 = 8,314.20/x
  3. Step 3: Cross multiply
    13,034.88x = 17,981.46 × 8,314.20
  4. Step 4: Simplify right side
    13,034.88x = 149,501,454.73
  5. Step 5: Solve for x
    x = 149,501,454.73/13,034.88
  6. Step 6: Final answer
    x = 11,469.34

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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.