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Finding the Fourth Proportional to 17,692, 24,414.72 and 9,734.06

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Solution

The fourth proportional to 17,692, 24,414.72 and 9,734.06 is: 13,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692 : 24,414.72 = 9,734.06 : x
  2. Step 2: Convert to fraction form
    17,692/24,414.72 = 9,734.06/x
  3. Step 3: Cross multiply
    17,692x = 24,414.72 × 9,734.06
  4. Step 4: Simplify right side
    17,692x = 237,654,349.36
  5. Step 5: Solve for x
    x = 237,654,349.36/17,692
  6. Step 6: Final answer
    x = 13,432.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.