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Finding the Fourth Proportional to 17,008.38, 23,471.46 and 9,454.60

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Solution

The fourth proportional to 17,008.38, 23,471.46 and 9,454.60 is: 13,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,008.38 : 23,471.46 = 9,454.60 : x
  2. Step 2: Convert to fraction form
    17,008.38/23,471.46 = 9,454.60/x
  3. Step 3: Cross multiply
    17,008.38x = 23,471.46 × 9,454.60
  4. Step 4: Simplify right side
    17,008.38x = 221,913,265.72
  5. Step 5: Solve for x
    x = 221,913,265.72/17,008.38
  6. Step 6: Final answer
    x = 13,047.29

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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.