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Finding the Fourth Proportional to 24,524.92, 36,790.68 and 7,879.40

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Solution

The fourth proportional to 24,524.92, 36,790.68 and 7,879.40 is: 11,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524.92 : 36,790.68 = 7,879.40 : x
  2. Step 2: Convert to fraction form
    24,524.92/36,790.68 = 7,879.40/x
  3. Step 3: Cross multiply
    24,524.92x = 36,790.68 × 7,879.40
  4. Step 4: Simplify right side
    24,524.92x = 289,888,483.99
  5. Step 5: Solve for x
    x = 289,888,483.99/24,524.92
  6. Step 6: Final answer
    x = 11,820.16

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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.