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Finding the Fourth Proportional to 24,179.63, 36,267.74 and 8,380.83

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Solution

The fourth proportional to 24,179.63, 36,267.74 and 8,380.83 is: 12,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.63 : 36,267.74 = 8,380.83 : x
  2. Step 2: Convert to fraction form
    24,179.63/36,267.74 = 8,380.83/x
  3. Step 3: Cross multiply
    24,179.63x = 36,267.74 × 8,380.83
  4. Step 4: Simplify right side
    24,179.63x = 303,953,721.52
  5. Step 5: Solve for x
    x = 303,953,721.52/24,179.63
  6. Step 6: Final answer
    x = 12,570.65

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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.