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Finding the Fourth Proportional to 21,382.38, 32,074.88 and 8,234.76

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Solution

The fourth proportional to 21,382.38, 32,074.88 and 8,234.76 is: 12,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.38 : 32,074.88 = 8,234.76 : x
  2. Step 2: Convert to fraction form
    21,382.38/32,074.88 = 8,234.76/x
  3. Step 3: Cross multiply
    21,382.38x = 32,074.88 × 8,234.76
  4. Step 4: Simplify right side
    21,382.38x = 264,129,017.94
  5. Step 5: Solve for x
    x = 264,129,017.94/21,382.38
  6. Step 6: Final answer
    x = 12,352.65

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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.