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Finding the Fourth Proportional to 16,211.69, 24,317.53 and 12,519.30

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Solution

The fourth proportional to 16,211.69, 24,317.53 and 12,519.30 is: 18,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.69 : 24,317.53 = 12,519.30 : x
  2. Step 2: Convert to fraction form
    16,211.69/24,317.53 = 12,519.30/x
  3. Step 3: Cross multiply
    16,211.69x = 24,317.53 × 12,519.30
  4. Step 4: Simplify right side
    16,211.69x = 304,438,422.03
  5. Step 5: Solve for x
    x = 304,438,422.03/16,211.69
  6. Step 6: Final answer
    x = 18,778.95

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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.