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Finding the Fourth Proportional to 22,943.32, 34,420.38 and 7,147.56

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Solution

The fourth proportional to 22,943.32, 34,420.38 and 7,147.56 is: 10,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.32 : 34,420.38 = 7,147.56 : x
  2. Step 2: Convert to fraction form
    22,943.32/34,420.38 = 7,147.56/x
  3. Step 3: Cross multiply
    22,943.32x = 34,420.38 × 7,147.56
  4. Step 4: Simplify right side
    22,943.32x = 246,021,731.27
  5. Step 5: Solve for x
    x = 246,021,731.27/22,943.32
  6. Step 6: Final answer
    x = 10,723.02

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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.