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Finding the Fourth Proportional to 18,874, 28,306.56 and 7,769.68

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Solution

The fourth proportional to 18,874, 28,306.56 and 7,769.68 is: 11,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,874 : 28,306.56 = 7,769.68 : x
  2. Step 2: Convert to fraction form
    18,874/28,306.56 = 7,769.68/x
  3. Step 3: Cross multiply
    18,874x = 28,306.56 × 7,769.68
  4. Step 4: Simplify right side
    18,874x = 219,932,913.10
  5. Step 5: Solve for x
    x = 219,932,913.10/18,874
  6. Step 6: Final answer
    x = 11,652.69

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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.