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Finding the Fourth Proportional to 15,105.27, 22,660.21 and 7,705.70

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Solution

The fourth proportional to 15,105.27, 22,660.21 and 7,705.70 is: 11,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.27 : 22,660.21 = 7,705.70 : x
  2. Step 2: Convert to fraction form
    15,105.27/22,660.21 = 7,705.70/x
  3. Step 3: Cross multiply
    15,105.27x = 22,660.21 × 7,705.70
  4. Step 4: Simplify right side
    15,105.27x = 174,612,719.44
  5. Step 5: Solve for x
    x = 174,612,719.44/15,105.27
  6. Step 6: Final answer
    x = 11,559.72

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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.