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Finding the Fourth Proportional to 16,161.67, 24,242.51 and 5,069.25

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Solution

The fourth proportional to 16,161.67, 24,242.51 and 5,069.25 is: 7,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.67 : 24,242.51 = 5,069.25 : x
  2. Step 2: Convert to fraction form
    16,161.67/24,242.51 = 5,069.25/x
  3. Step 3: Cross multiply
    16,161.67x = 24,242.51 × 5,069.25
  4. Step 4: Simplify right side
    16,161.67x = 122,891,343.82
  5. Step 5: Solve for x
    x = 122,891,343.82/16,161.67
  6. Step 6: Final answer
    x = 7,603.88

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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.