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Finding the Fourth Proportional to 22,735.34, 34,099.77 and 7,152.56

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Solution

The fourth proportional to 22,735.34, 34,099.77 and 7,152.56 is: 10,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.34 : 34,099.77 = 7,152.56 : x
  2. Step 2: Convert to fraction form
    22,735.34/34,099.77 = 7,152.56/x
  3. Step 3: Cross multiply
    22,735.34x = 34,099.77 × 7,152.56
  4. Step 4: Simplify right side
    22,735.34x = 243,900,650.91
  5. Step 5: Solve for x
    x = 243,900,650.91/22,735.34
  6. Step 6: Final answer
    x = 10,727.82

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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.