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Finding the Fourth Proportional to 16,765.76, 25,149 and 5,078.96

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Solution

The fourth proportional to 16,765.76, 25,149 and 5,078.96 is: 7,618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765.76 : 25,149 = 5,078.96 : x
  2. Step 2: Convert to fraction form
    16,765.76/25,149 = 5,078.96/x
  3. Step 3: Cross multiply
    16,765.76x = 25,149 × 5,078.96
  4. Step 4: Simplify right side
    16,765.76x = 127,730,765.04
  5. Step 5: Solve for x
    x = 127,730,765.04/16,765.76
  6. Step 6: Final answer
    x = 7,618.55

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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.