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Finding the Fourth Proportional to 24,978.46, 37,464.27 and 8,338.12

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Solution

The fourth proportional to 24,978.46, 37,464.27 and 8,338.12 is: 12,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.46 : 37,464.27 = 8,338.12 : x
  2. Step 2: Convert to fraction form
    24,978.46/37,464.27 = 8,338.12/x
  3. Step 3: Cross multiply
    24,978.46x = 37,464.27 × 8,338.12
  4. Step 4: Simplify right side
    24,978.46x = 312,381,422.92
  5. Step 5: Solve for x
    x = 312,381,422.92/24,978.46
  6. Step 6: Final answer
    x = 12,506.03

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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.