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Finding the Fourth Proportional to 11,826.80, 17,740.20 and 9,712.70

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Solution

The fourth proportional to 11,826.80, 17,740.20 and 9,712.70 is: 14,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.80 : 17,740.20 = 9,712.70 : x
  2. Step 2: Convert to fraction form
    11,826.80/17,740.20 = 9,712.70/x
  3. Step 3: Cross multiply
    11,826.80x = 17,740.20 × 9,712.70
  4. Step 4: Simplify right side
    11,826.80x = 172,305,240.54
  5. Step 5: Solve for x
    x = 172,305,240.54/11,826.80
  6. Step 6: Final answer
    x = 14,569.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.