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Finding the Fourth Proportional to 16,211.88, 24,319.10 and 5,119.43

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Solution

The fourth proportional to 16,211.88, 24,319.10 and 5,119.43 is: 7,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.88 : 24,319.10 = 5,119.43 : x
  2. Step 2: Convert to fraction form
    16,211.88/24,319.10 = 5,119.43/x
  3. Step 3: Cross multiply
    16,211.88x = 24,319.10 × 5,119.43
  4. Step 4: Simplify right side
    16,211.88x = 124,499,821.32
  5. Step 5: Solve for x
    x = 124,499,821.32/16,211.88
  6. Step 6: Final answer
    x = 7,679.54

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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.