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Finding the Fourth Proportional to 24,820.32, 37,234.14 and 7,287.87

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Solution

The fourth proportional to 24,820.32, 37,234.14 and 7,287.87 is: 10,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.32 : 37,234.14 = 7,287.87 : x
  2. Step 2: Convert to fraction form
    24,820.32/37,234.14 = 7,287.87/x
  3. Step 3: Cross multiply
    24,820.32x = 37,234.14 × 7,287.87
  4. Step 4: Simplify right side
    24,820.32x = 271,357,571.88
  5. Step 5: Solve for x
    x = 271,357,571.88/24,820.32
  6. Step 6: Final answer
    x = 10,932.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.