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Finding the Fourth Proportional to 16,561.71, 24,842.97 and 4,249.71

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Solution

The fourth proportional to 16,561.71, 24,842.97 and 4,249.71 is: 6,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.71 : 24,842.97 = 4,249.71 : x
  2. Step 2: Convert to fraction form
    16,561.71/24,842.97 = 4,249.71/x
  3. Step 3: Cross multiply
    16,561.71x = 24,842.97 × 4,249.71
  4. Step 4: Simplify right side
    16,561.71x = 105,575,418.04
  5. Step 5: Solve for x
    x = 105,575,418.04/16,561.71
  6. Step 6: Final answer
    x = 6,374.67

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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.