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Finding the Fourth Proportional to 24,259.92, 36,398.78 and 10,223.48

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Solution

The fourth proportional to 24,259.92, 36,398.78 and 10,223.48 is: 15,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259.92 : 36,398.78 = 10,223.48 : x
  2. Step 2: Convert to fraction form
    24,259.92/36,398.78 = 10,223.48/x
  3. Step 3: Cross multiply
    24,259.92x = 36,398.78 × 10,223.48
  4. Step 4: Simplify right side
    24,259.92x = 372,122,199.35
  5. Step 5: Solve for x
    x = 372,122,199.35/24,259.92
  6. Step 6: Final answer
    x = 15,338.97

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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.