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Finding the Fourth Proportional to 16,286.69, 24,433.13 and 5,610.22

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Solution

The fourth proportional to 16,286.69, 24,433.13 and 5,610.22 is: 8,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.69 : 24,433.13 = 5,610.22 : x
  2. Step 2: Convert to fraction form
    16,286.69/24,433.13 = 5,610.22/x
  3. Step 3: Cross multiply
    16,286.69x = 24,433.13 × 5,610.22
  4. Step 4: Simplify right side
    16,286.69x = 137,075,187.53
  5. Step 5: Solve for x
    x = 137,075,187.53/16,286.69
  6. Step 6: Final answer
    x = 8,416.39

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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.