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Finding the Fourth Proportional to 24,253.49, 36,380.21 and 7,614.82

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Solution

The fourth proportional to 24,253.49, 36,380.21 and 7,614.82 is: 11,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,253.49 : 36,380.21 = 7,614.82 : x
  2. Step 2: Convert to fraction form
    24,253.49/36,380.21 = 7,614.82/x
  3. Step 3: Cross multiply
    24,253.49x = 36,380.21 × 7,614.82
  4. Step 4: Simplify right side
    24,253.49x = 277,028,873.52
  5. Step 5: Solve for x
    x = 277,028,873.52/24,253.49
  6. Step 6: Final answer
    x = 11,422.23

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1.5x scale

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.