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Finding the Fourth Proportional to 24,310.40, 36,471.75 and 6,780.23

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Solution

The fourth proportional to 24,310.40, 36,471.75 and 6,780.23 is: 10,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.40 : 36,471.75 = 6,780.23 : x
  2. Step 2: Convert to fraction form
    24,310.40/36,471.75 = 6,780.23/x
  3. Step 3: Cross multiply
    24,310.40x = 36,471.75 × 6,780.23
  4. Step 4: Simplify right side
    24,310.40x = 247,286,853.50
  5. Step 5: Solve for x
    x = 247,286,853.50/24,310.40
  6. Step 6: Final answer
    x = 10,172.06

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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.