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Finding the Fourth Proportional to 16,114.68, 24,171.62 and 5,021.33

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Solution

The fourth proportional to 16,114.68, 24,171.62 and 5,021.33 is: 7,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.68 : 24,171.62 = 5,021.33 : x
  2. Step 2: Convert to fraction form
    16,114.68/24,171.62 = 5,021.33/x
  3. Step 3: Cross multiply
    16,114.68x = 24,171.62 × 5,021.33
  4. Step 4: Simplify right side
    16,114.68x = 121,373,534.69
  5. Step 5: Solve for x
    x = 121,373,534.69/16,114.68
  6. Step 6: Final answer
    x = 7,531.86

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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.