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Finding the Fourth Proportional to 24,474, 36,710.88 and 6,943.86

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Solution

The fourth proportional to 24,474, 36,710.88 and 6,943.86 is: 10,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474 : 36,710.88 = 6,943.86 : x
  2. Step 2: Convert to fraction form
    24,474/36,710.88 = 6,943.86/x
  3. Step 3: Cross multiply
    24,474x = 36,710.88 × 6,943.86
  4. Step 4: Simplify right side
    24,474x = 254,915,211.20
  5. Step 5: Solve for x
    x = 254,915,211.20/24,474
  6. Step 6: Final answer
    x = 10,415.76

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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.