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Finding the Fourth Proportional to 16,149.75, 24,223.73 and 5,055.14

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Solution

The fourth proportional to 16,149.75, 24,223.73 and 5,055.14 is: 7,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.75 : 24,223.73 = 5,055.14 : x
  2. Step 2: Convert to fraction form
    16,149.75/24,223.73 = 5,055.14/x
  3. Step 3: Cross multiply
    16,149.75x = 24,223.73 × 5,055.14
  4. Step 4: Simplify right side
    16,149.75x = 122,454,200.08
  5. Step 5: Solve for x
    x = 122,454,200.08/16,149.75
  6. Step 6: Final answer
    x = 7,582.42

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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.