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Finding the Fourth Proportional to 24,432.30, 36,647.78 and 7,793.33

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Solution

The fourth proportional to 24,432.30, 36,647.78 and 7,793.33 is: 11,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432.30 : 36,647.78 = 7,793.33 : x
  2. Step 2: Convert to fraction form
    24,432.30/36,647.78 = 7,793.33/x
  3. Step 3: Cross multiply
    24,432.30x = 36,647.78 × 7,793.33
  4. Step 4: Simplify right side
    24,432.30x = 285,608,021.10
  5. Step 5: Solve for x
    x = 285,608,021.10/24,432.30
  6. Step 6: Final answer
    x = 11,689.77

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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.