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Finding the Fourth Proportional to 15,665.50, 23,502.75 and 7,770.43

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Solution

The fourth proportional to 15,665.50, 23,502.75 and 7,770.43 is: 11,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.50 : 23,502.75 = 7,770.43 : x
  2. Step 2: Convert to fraction form
    15,665.50/23,502.75 = 7,770.43/x
  3. Step 3: Cross multiply
    15,665.50x = 23,502.75 × 7,770.43
  4. Step 4: Simplify right side
    15,665.50x = 182,626,473.68
  5. Step 5: Solve for x
    x = 182,626,473.68/15,665.50
  6. Step 6: Final answer
    x = 11,657.88

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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.