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Finding the Fourth Proportional to 16,022.67, 24,028.80 and 5,346.20

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Solution

The fourth proportional to 16,022.67, 24,028.80 and 5,346.20 is: 8,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.67 : 24,028.80 = 5,346.20 : x
  2. Step 2: Convert to fraction form
    16,022.67/24,028.80 = 5,346.20/x
  3. Step 3: Cross multiply
    16,022.67x = 24,028.80 × 5,346.20
  4. Step 4: Simplify right side
    16,022.67x = 128,462,650.42
  5. Step 5: Solve for x
    x = 128,462,650.42/16,022.67
  6. Step 6: Final answer
    x = 8,017.56

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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.