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Finding the Fourth Proportional to 15,768, 23,651.34 and 3,921.78

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Solution

The fourth proportional to 15,768, 23,651.34 and 3,921.78 is: 5,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768 : 23,651.34 = 3,921.78 : x
  2. Step 2: Convert to fraction form
    15,768/23,651.34 = 3,921.78/x
  3. Step 3: Cross multiply
    15,768x = 23,651.34 × 3,921.78
  4. Step 4: Simplify right side
    15,768x = 92,755,352.19
  5. Step 5: Solve for x
    x = 92,755,352.19/15,768
  6. Step 6: Final answer
    x = 5,882.51

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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.