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Finding the Fourth Proportional to 16,057.98, 24,074.87 and 4,958.15

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Solution

The fourth proportional to 16,057.98, 24,074.87 and 4,958.15 is: 7,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.98 : 24,074.87 = 4,958.15 : x
  2. Step 2: Convert to fraction form
    16,057.98/24,074.87 = 4,958.15/x
  3. Step 3: Cross multiply
    16,057.98x = 24,074.87 × 4,958.15
  4. Step 4: Simplify right side
    16,057.98x = 119,366,671.53
  5. Step 5: Solve for x
    x = 119,366,671.53/16,057.98
  6. Step 6: Final answer
    x = 7,433.48

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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.