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Finding the Fourth Proportional to 24,508.12, 36,762 and 6,977.92

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Solution

The fourth proportional to 24,508.12, 36,762 and 6,977.92 is: 10,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.12 : 36,762 = 6,977.92 : x
  2. Step 2: Convert to fraction form
    24,508.12/36,762 = 6,977.92/x
  3. Step 3: Cross multiply
    24,508.12x = 36,762 × 6,977.92
  4. Step 4: Simplify right side
    24,508.12x = 256,522,295.04
  5. Step 5: Solve for x
    x = 256,522,295.04/24,508.12
  6. Step 6: Final answer
    x = 10,466.83

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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.