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Finding the Fourth Proportional to 24,817.76, 37,233.12 and 8,180.32

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Solution

The fourth proportional to 24,817.76, 37,233.12 and 8,180.32 is: 12,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.76 : 37,233.12 = 8,180.32 : x
  2. Step 2: Convert to fraction form
    24,817.76/37,233.12 = 8,180.32/x
  3. Step 3: Cross multiply
    24,817.76x = 37,233.12 × 8,180.32
  4. Step 4: Simplify right side
    24,817.76x = 304,578,836.20
  5. Step 5: Solve for x
    x = 304,578,836.20/24,817.76
  6. Step 6: Final answer
    x = 12,272.62

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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.