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Finding the Fourth Proportional to 27,624.95, 41,473.56 and 16,400.78

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Solution

The fourth proportional to 27,624.95, 41,473.56 and 16,400.78 is: 24,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.95 : 41,473.56 = 16,400.78 : x
  2. Step 2: Convert to fraction form
    27,624.95/41,473.56 = 16,400.78/x
  3. Step 3: Cross multiply
    27,624.95x = 41,473.56 × 16,400.78
  4. Step 4: Simplify right side
    27,624.95x = 680,198,733.38
  5. Step 5: Solve for x
    x = 680,198,733.38/27,624.95
  6. Step 6: Final answer
    x = 24,622.62

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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.