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Finding the Fourth Proportional to 16,114.55, 24,171.82 and 5,021.90

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Solution

The fourth proportional to 16,114.55, 24,171.82 and 5,021.90 is: 7,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.55 : 24,171.82 = 5,021.90 : x
  2. Step 2: Convert to fraction form
    16,114.55/24,171.82 = 5,021.90/x
  3. Step 3: Cross multiply
    16,114.55x = 24,171.82 × 5,021.90
  4. Step 4: Simplify right side
    16,114.55x = 121,388,420.09
  5. Step 5: Solve for x
    x = 121,388,420.09/16,114.55
  6. Step 6: Final answer
    x = 7,532.85

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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.