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Finding the Fourth Proportional to 12,098.97, 18,146.84 and 4,705.70

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Solution

The fourth proportional to 12,098.97, 18,146.84 and 4,705.70 is: 7,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.97 : 18,146.84 = 4,705.70 : x
  2. Step 2: Convert to fraction form
    12,098.97/18,146.84 = 4,705.70/x
  3. Step 3: Cross multiply
    12,098.97x = 18,146.84 × 4,705.70
  4. Step 4: Simplify right side
    12,098.97x = 85,393,470.73
  5. Step 5: Solve for x
    x = 85,393,470.73/12,098.97
  6. Step 6: Final answer
    x = 7,057.91

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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.