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Finding the Fourth Proportional to 23,928.16, 35,887.92 and 8,350.24

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Solution

The fourth proportional to 23,928.16, 35,887.92 and 8,350.24 is: 12,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,928.16 : 35,887.92 = 8,350.24 : x
  2. Step 2: Convert to fraction form
    23,928.16/35,887.92 = 8,350.24/x
  3. Step 3: Cross multiply
    23,928.16x = 35,887.92 × 8,350.24
  4. Step 4: Simplify right side
    23,928.16x = 299,672,745.10
  5. Step 5: Solve for x
    x = 299,672,745.10/23,928.16
  6. Step 6: Final answer
    x = 12,523.85

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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.