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Finding the Fourth Proportional to 24,517.06, 36,775.58 and 7,878.44

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Solution

The fourth proportional to 24,517.06, 36,775.58 and 7,878.44 is: 11,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.06 : 36,775.58 = 7,878.44 : x
  2. Step 2: Convert to fraction form
    24,517.06/36,775.58 = 7,878.44/x
  3. Step 3: Cross multiply
    24,517.06x = 36,775.58 × 7,878.44
  4. Step 4: Simplify right side
    24,517.06x = 289,734,200.50
  5. Step 5: Solve for x
    x = 289,734,200.50/24,517.06
  6. Step 6: Final answer
    x = 11,817.66

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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.