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Finding the Fourth Proportional to 24,494.88, 36,737.11 and 7,850.46

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Solution

The fourth proportional to 24,494.88, 36,737.11 and 7,850.46 is: 11,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.88 : 36,737.11 = 7,850.46 : x
  2. Step 2: Convert to fraction form
    24,494.88/36,737.11 = 7,850.46/x
  3. Step 3: Cross multiply
    24,494.88x = 36,737.11 × 7,850.46
  4. Step 4: Simplify right side
    24,494.88x = 288,403,212.57
  5. Step 5: Solve for x
    x = 288,403,212.57/24,494.88
  6. Step 6: Final answer
    x = 11,774.02

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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.