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Finding the Fourth Proportional to 24,494.35, 36,737.87 and 7,852.65

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Solution

The fourth proportional to 24,494.35, 36,737.87 and 7,852.65 is: 11,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.35 : 36,737.87 = 7,852.65 : x
  2. Step 2: Convert to fraction form
    24,494.35/36,737.87 = 7,852.65/x
  3. Step 3: Cross multiply
    24,494.35x = 36,737.87 × 7,852.65
  4. Step 4: Simplify right side
    24,494.35x = 288,489,634.86
  5. Step 5: Solve for x
    x = 288,489,634.86/24,494.35
  6. Step 6: Final answer
    x = 11,777.80

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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.