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Finding the Fourth Proportional to 23,478.35, 35,194.02 and 11,640.78

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Solution

The fourth proportional to 23,478.35, 35,194.02 and 11,640.78 is: 17,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.35 : 35,194.02 = 11,640.78 : x
  2. Step 2: Convert to fraction form
    23,478.35/35,194.02 = 11,640.78/x
  3. Step 3: Cross multiply
    23,478.35x = 35,194.02 × 11,640.78
  4. Step 4: Simplify right side
    23,478.35x = 409,685,785.93
  5. Step 5: Solve for x
    x = 409,685,785.93/23,478.35
  6. Step 6: Final answer
    x = 17,449.52

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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.