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Finding the Fourth Proportional to 15,654.82, 23,471.29 and 5,792.82

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Solution

The fourth proportional to 15,654.82, 23,471.29 and 5,792.82 is: 8,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654.82 : 23,471.29 = 5,792.82 : x
  2. Step 2: Convert to fraction form
    15,654.82/23,471.29 = 5,792.82/x
  3. Step 3: Cross multiply
    15,654.82x = 23,471.29 × 5,792.82
  4. Step 4: Simplify right side
    15,654.82x = 135,964,958.14
  5. Step 5: Solve for x
    x = 135,964,958.14/15,654.82
  6. Step 6: Final answer
    x = 8,685.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.