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Finding the Fourth Proportional to 18,497.80, 27,746.70 and 8,107.12

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Solution

The fourth proportional to 18,497.80, 27,746.70 and 8,107.12 is: 12,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.80 : 27,746.70 = 8,107.12 : x
  2. Step 2: Convert to fraction form
    18,497.80/27,746.70 = 8,107.12/x
  3. Step 3: Cross multiply
    18,497.80x = 27,746.70 × 8,107.12
  4. Step 4: Simplify right side
    18,497.80x = 224,945,826.50
  5. Step 5: Solve for x
    x = 224,945,826.50/18,497.80
  6. Step 6: Final answer
    x = 12,160.68

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Similar ratio
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1.5x scale

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.