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Finding the Fourth Proportional to 23,074.75, 34,615.03 and 9,032.97

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Solution

The fourth proportional to 23,074.75, 34,615.03 and 9,032.97 is: 13,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.75 : 34,615.03 = 9,032.97 : x
  2. Step 2: Convert to fraction form
    23,074.75/34,615.03 = 9,032.97/x
  3. Step 3: Cross multiply
    23,074.75x = 34,615.03 × 9,032.97
  4. Step 4: Simplify right side
    23,074.75x = 312,676,527.54
  5. Step 5: Solve for x
    x = 312,676,527.54/23,074.75
  6. Step 6: Final answer
    x = 13,550.59

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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.