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Finding the Fourth Proportional to 17,917.20, 24,726.24 and 9,959.76

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Solution

The fourth proportional to 17,917.20, 24,726.24 and 9,959.76 is: 13,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,917.20 : 24,726.24 = 9,959.76 : x
  2. Step 2: Convert to fraction form
    17,917.20/24,726.24 = 9,959.76/x
  3. Step 3: Cross multiply
    17,917.20x = 24,726.24 × 9,959.76
  4. Step 4: Simplify right side
    17,917.20x = 246,267,416.10
  5. Step 5: Solve for x
    x = 246,267,416.10/17,917.20
  6. Step 6: Final answer
    x = 13,744.75

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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.