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Finding the Fourth Proportional to 22,743.76, 34,120.23 and 7,157.74

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Solution

The fourth proportional to 22,743.76, 34,120.23 and 7,157.74 is: 10,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743.76 : 34,120.23 = 7,157.74 : x
  2. Step 2: Convert to fraction form
    22,743.76/34,120.23 = 7,157.74/x
  3. Step 3: Cross multiply
    22,743.76x = 34,120.23 × 7,157.74
  4. Step 4: Simplify right side
    22,743.76x = 244,223,735.08
  5. Step 5: Solve for x
    x = 244,223,735.08/22,743.76
  6. Step 6: Final answer
    x = 10,738.05

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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.