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Finding the Fourth Proportional to 15,502.74, 23,257.32 and 8,105.19

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Solution

The fourth proportional to 15,502.74, 23,257.32 and 8,105.19 is: 12,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.74 : 23,257.32 = 8,105.19 : x
  2. Step 2: Convert to fraction form
    15,502.74/23,257.32 = 8,105.19/x
  3. Step 3: Cross multiply
    15,502.74x = 23,257.32 × 8,105.19
  4. Step 4: Simplify right side
    15,502.74x = 188,504,997.49
  5. Step 5: Solve for x
    x = 188,504,997.49/15,502.74
  6. Step 6: Final answer
    x = 12,159.46

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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.