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Finding the Fourth Proportional to 24,053.50, 36,083.64 and 7,414.88

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Solution

The fourth proportional to 24,053.50, 36,083.64 and 7,414.88 is: 11,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,053.50 : 36,083.64 = 7,414.88 : x
  2. Step 2: Convert to fraction form
    24,053.50/36,083.64 = 7,414.88/x
  3. Step 3: Cross multiply
    24,053.50x = 36,083.64 × 7,414.88
  4. Step 4: Simplify right side
    24,053.50x = 267,555,860.56
  5. Step 5: Solve for x
    x = 267,555,860.56/24,053.50
  6. Step 6: Final answer
    x = 11,123.37

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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.