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Finding the Fourth Proportional to 17,750, 26,624.28 and 5,269.52

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Solution

The fourth proportional to 17,750, 26,624.28 and 5,269.52 is: 7,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750 : 26,624.28 = 5,269.52 : x
  2. Step 2: Convert to fraction form
    17,750/26,624.28 = 5,269.52/x
  3. Step 3: Cross multiply
    17,750x = 26,624.28 × 5,269.52
  4. Step 4: Simplify right side
    17,750x = 140,297,175.95
  5. Step 5: Solve for x
    x = 140,297,175.95/17,750
  6. Step 6: Final answer
    x = 7,904.07

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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.