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Finding the Fourth Proportional to 23,797.72, 32,774.25 and 23,281.15

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Solution

The fourth proportional to 23,797.72, 32,774.25 and 23,281.15 is: 32,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.72 : 32,774.25 = 23,281.15 : x
  2. Step 2: Convert to fraction form
    23,797.72/32,774.25 = 23,281.15/x
  3. Step 3: Cross multiply
    23,797.72x = 32,774.25 × 23,281.15
  4. Step 4: Simplify right side
    23,797.72x = 763,022,230.39
  5. Step 5: Solve for x
    x = 763,022,230.39/23,797.72
  6. Step 6: Final answer
    x = 32,062.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.