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Finding the Fourth Proportional to 24,295.76, 36,443.64 and 6,766.04

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Solution

The fourth proportional to 24,295.76, 36,443.64 and 6,766.04 is: 10,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295.76 : 36,443.64 = 6,766.04 : x
  2. Step 2: Convert to fraction form
    24,295.76/36,443.64 = 6,766.04/x
  3. Step 3: Cross multiply
    24,295.76x = 36,443.64 × 6,766.04
  4. Step 4: Simplify right side
    24,295.76x = 246,579,125.99
  5. Step 5: Solve for x
    x = 246,579,125.99/24,295.76
  6. Step 6: Final answer
    x = 10,149.06

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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.