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Finding the Fourth Proportional to 24,478.80, 36,719.61 and 6,947.25

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Solution

The fourth proportional to 24,478.80, 36,719.61 and 6,947.25 is: 10,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.80 : 36,719.61 = 6,947.25 : x
  2. Step 2: Convert to fraction form
    24,478.80/36,719.61 = 6,947.25/x
  3. Step 3: Cross multiply
    24,478.80x = 36,719.61 × 6,947.25
  4. Step 4: Simplify right side
    24,478.80x = 255,100,310.57
  5. Step 5: Solve for x
    x = 255,100,310.57/24,478.80
  6. Step 6: Final answer
    x = 10,421.28

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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.