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Finding the Fourth Proportional to 23,565.75, 35,348.63 and 7,149.75

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Solution

The fourth proportional to 23,565.75, 35,348.63 and 7,149.75 is: 10,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.75 : 35,348.63 = 7,149.75 : x
  2. Step 2: Convert to fraction form
    23,565.75/35,348.63 = 7,149.75/x
  3. Step 3: Cross multiply
    23,565.75x = 35,348.63 × 7,149.75
  4. Step 4: Simplify right side
    23,565.75x = 252,733,867.34
  5. Step 5: Solve for x
    x = 252,733,867.34/23,565.75
  6. Step 6: Final answer
    x = 10,724.63

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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.