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Finding the Fourth Proportional to 17,414.70, 24,032.07 and 9,456.98

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Solution

The fourth proportional to 17,414.70, 24,032.07 and 9,456.98 is: 13,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.70 : 24,032.07 = 9,456.98 : x
  2. Step 2: Convert to fraction form
    17,414.70/24,032.07 = 9,456.98/x
  3. Step 3: Cross multiply
    17,414.70x = 24,032.07 × 9,456.98
  4. Step 4: Simplify right side
    17,414.70x = 227,270,752.78
  5. Step 5: Solve for x
    x = 227,270,752.78/17,414.70
  6. Step 6: Final answer
    x = 13,050.51

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1.5x scale

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.