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Finding the Fourth Proportional to 22,746.34, 34,116.27 and 7,163.56

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Solution

The fourth proportional to 22,746.34, 34,116.27 and 7,163.56 is: 10,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746.34 : 34,116.27 = 7,163.56 : x
  2. Step 2: Convert to fraction form
    22,746.34/34,116.27 = 7,163.56/x
  3. Step 3: Cross multiply
    22,746.34x = 34,116.27 × 7,163.56
  4. Step 4: Simplify right side
    22,746.34x = 244,393,947.12
  5. Step 5: Solve for x
    x = 244,393,947.12/22,746.34
  6. Step 6: Final answer
    x = 10,744.32

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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.