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Finding the Fourth Proportional to 24,574.25, 36,861.38 and 8,158.25

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Solution

The fourth proportional to 24,574.25, 36,861.38 and 8,158.25 is: 12,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.25 : 36,861.38 = 8,158.25 : x
  2. Step 2: Convert to fraction form
    24,574.25/36,861.38 = 8,158.25/x
  3. Step 3: Cross multiply
    24,574.25x = 36,861.38 × 8,158.25
  4. Step 4: Simplify right side
    24,574.25x = 300,724,353.39
  5. Step 5: Solve for x
    x = 300,724,353.39/24,574.25
  6. Step 6: Final answer
    x = 12,237.38

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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.