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Finding the Fourth Proportional to 17,731.92, 24,470.22 and 9,774.46

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Solution

The fourth proportional to 17,731.92, 24,470.22 and 9,774.46 is: 13,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.92 : 24,470.22 = 9,774.46 : x
  2. Step 2: Convert to fraction form
    17,731.92/24,470.22 = 9,774.46/x
  3. Step 3: Cross multiply
    17,731.92x = 24,470.22 × 9,774.46
  4. Step 4: Simplify right side
    17,731.92x = 239,183,186.58
  5. Step 5: Solve for x
    x = 239,183,186.58/17,731.92
  6. Step 6: Final answer
    x = 13,488.85

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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.