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Finding the Fourth Proportional to 23,442, 35,161.17 and 10,294.48

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Solution

The fourth proportional to 23,442, 35,161.17 and 10,294.48 is: 15,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442 : 35,161.17 = 10,294.48 : x
  2. Step 2: Convert to fraction form
    23,442/35,161.17 = 10,294.48/x
  3. Step 3: Cross multiply
    23,442x = 35,161.17 × 10,294.48
  4. Step 4: Simplify right side
    23,442x = 361,965,961.34
  5. Step 5: Solve for x
    x = 361,965,961.34/23,442
  6. Step 6: Final answer
    x = 15,440.92

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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.