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Finding the Fourth Proportional to 16,277.99, 24,418.78 and 5,182.11

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Solution

The fourth proportional to 16,277.99, 24,418.78 and 5,182.11 is: 7,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.99 : 24,418.78 = 5,182.11 : x
  2. Step 2: Convert to fraction form
    16,277.99/24,418.78 = 5,182.11/x
  3. Step 3: Cross multiply
    16,277.99x = 24,418.78 × 5,182.11
  4. Step 4: Simplify right side
    16,277.99x = 126,540,791.07
  5. Step 5: Solve for x
    x = 126,540,791.07/16,277.99
  6. Step 6: Final answer
    x = 7,773.74

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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.