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Finding the Fourth Proportional to 18,007.80, 27,011.70 and 8,166.30

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Solution

The fourth proportional to 18,007.80, 27,011.70 and 8,166.30 is: 12,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,007.80 : 27,011.70 = 8,166.30 : x
  2. Step 2: Convert to fraction form
    18,007.80/27,011.70 = 8,166.30/x
  3. Step 3: Cross multiply
    18,007.80x = 27,011.70 × 8,166.30
  4. Step 4: Simplify right side
    18,007.80x = 220,585,645.71
  5. Step 5: Solve for x
    x = 220,585,645.71/18,007.80
  6. Step 6: Final answer
    x = 12,249.45

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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.