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Finding the Fourth Proportional to 16,105.98, 24,162.33 and 5,014.14

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Solution

The fourth proportional to 16,105.98, 24,162.33 and 5,014.14 is: 7,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.98 : 24,162.33 = 5,014.14 : x
  2. Step 2: Convert to fraction form
    16,105.98/24,162.33 = 5,014.14/x
  3. Step 3: Cross multiply
    16,105.98x = 24,162.33 × 5,014.14
  4. Step 4: Simplify right side
    16,105.98x = 121,153,305.35
  5. Step 5: Solve for x
    x = 121,153,305.35/16,105.98
  6. Step 6: Final answer
    x = 7,522.26

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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.