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Finding the Fourth Proportional to 24,228.78, 36,343.17 and 7,588.95

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Solution

The fourth proportional to 24,228.78, 36,343.17 and 7,588.95 is: 11,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228.78 : 36,343.17 = 7,588.95 : x
  2. Step 2: Convert to fraction form
    24,228.78/36,343.17 = 7,588.95/x
  3. Step 3: Cross multiply
    24,228.78x = 36,343.17 × 7,588.95
  4. Step 4: Simplify right side
    24,228.78x = 275,806,499.97
  5. Step 5: Solve for x
    x = 275,806,499.97/24,228.78
  6. Step 6: Final answer
    x = 11,383.43

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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.