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Finding the Fourth Proportional to 23,832.30, 35,737.08 and 8,829.12

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Solution

The fourth proportional to 23,832.30, 35,737.08 and 8,829.12 is: 13,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.30 : 35,737.08 = 8,829.12 : x
  2. Step 2: Convert to fraction form
    23,832.30/35,737.08 = 8,829.12/x
  3. Step 3: Cross multiply
    23,832.30x = 35,737.08 × 8,829.12
  4. Step 4: Simplify right side
    23,832.30x = 315,527,101.78
  5. Step 5: Solve for x
    x = 315,527,101.78/23,832.30
  6. Step 6: Final answer
    x = 13,239.48

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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.