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Finding the Fourth Proportional to 17,976.82, 24,808.19 and 9,910.76

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Solution

The fourth proportional to 17,976.82, 24,808.19 and 9,910.76 is: 13,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976.82 : 24,808.19 = 9,910.76 : x
  2. Step 2: Convert to fraction form
    17,976.82/24,808.19 = 9,910.76/x
  3. Step 3: Cross multiply
    17,976.82x = 24,808.19 × 9,910.76
  4. Step 4: Simplify right side
    17,976.82x = 245,868,017.12
  5. Step 5: Solve for x
    x = 245,868,017.12/17,976.82
  6. Step 6: Final answer
    x = 13,676.95

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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.