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Finding the Fourth Proportional to 13,257.97, 19,882.75 and 4,490.83

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Solution

The fourth proportional to 13,257.97, 19,882.75 and 4,490.83 is: 6,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.97 : 19,882.75 = 4,490.83 : x
  2. Step 2: Convert to fraction form
    13,257.97/19,882.75 = 4,490.83/x
  3. Step 3: Cross multiply
    13,257.97x = 19,882.75 × 4,490.83
  4. Step 4: Simplify right side
    13,257.97x = 89,290,050.18
  5. Step 5: Solve for x
    x = 89,290,050.18/13,257.97
  6. Step 6: Final answer
    x = 6,734.82

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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.