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Finding the Fourth Proportional to 24,829.60, 37,233.60 and 8,183.20

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Solution

The fourth proportional to 24,829.60, 37,233.60 and 8,183.20 is: 12,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.60 : 37,233.60 = 8,183.20 : x
  2. Step 2: Convert to fraction form
    24,829.60/37,233.60 = 8,183.20/x
  3. Step 3: Cross multiply
    24,829.60x = 37,233.60 × 8,183.20
  4. Step 4: Simplify right side
    24,829.60x = 304,689,995.52
  5. Step 5: Solve for x
    x = 304,689,995.52/24,829.60
  6. Step 6: Final answer
    x = 12,271.24

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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.