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Finding the Fourth Proportional to 24,391.28, 36,588.24 and 7,752.64

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Solution

The fourth proportional to 24,391.28, 36,588.24 and 7,752.64 is: 11,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391.28 : 36,588.24 = 7,752.64 : x
  2. Step 2: Convert to fraction form
    24,391.28/36,588.24 = 7,752.64/x
  3. Step 3: Cross multiply
    24,391.28x = 36,588.24 × 7,752.64
  4. Step 4: Simplify right side
    24,391.28x = 283,655,452.95
  5. Step 5: Solve for x
    x = 283,655,452.95/24,391.28
  6. Step 6: Final answer
    x = 11,629.38

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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.