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Finding the Fourth Proportional to 24,943.20, 37,420.20 and 7,414.80

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Solution

The fourth proportional to 24,943.20, 37,420.20 and 7,414.80 is: 11,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,943.20 : 37,420.20 = 7,414.80 : x
  2. Step 2: Convert to fraction form
    24,943.20/37,420.20 = 7,414.80/x
  3. Step 3: Cross multiply
    24,943.20x = 37,420.20 × 7,414.80
  4. Step 4: Simplify right side
    24,943.20x = 277,463,298.96
  5. Step 5: Solve for x
    x = 277,463,298.96/24,943.20
  6. Step 6: Final answer
    x = 11,123.81

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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.