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Finding the Fourth Proportional to 24,807.92, 37,207.68 and 8,168.16

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Solution

The fourth proportional to 24,807.92, 37,207.68 and 8,168.16 is: 12,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.92 : 37,207.68 = 8,168.16 : x
  2. Step 2: Convert to fraction form
    24,807.92/37,207.68 = 8,168.16/x
  3. Step 3: Cross multiply
    24,807.92x = 37,207.68 × 8,168.16
  4. Step 4: Simplify right side
    24,807.92x = 303,918,283.47
  5. Step 5: Solve for x
    x = 303,918,283.47/24,807.92
  6. Step 6: Final answer
    x = 12,250.86

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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.