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Finding the Fourth Proportional to 18,632.68, 27,948.61 and 8,766.49

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Solution

The fourth proportional to 18,632.68, 27,948.61 and 8,766.49 is: 13,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632.68 : 27,948.61 = 8,766.49 : x
  2. Step 2: Convert to fraction form
    18,632.68/27,948.61 = 8,766.49/x
  3. Step 3: Cross multiply
    18,632.68x = 27,948.61 × 8,766.49
  4. Step 4: Simplify right side
    18,632.68x = 245,011,210.08
  5. Step 5: Solve for x
    x = 245,011,210.08/18,632.68
  6. Step 6: Final answer
    x = 13,149.54

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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.