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Finding the Fourth Proportional to 23,512.68, 35,274.92 and 10,856.32

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Solution

The fourth proportional to 23,512.68, 35,274.92 and 10,856.32 is: 16,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.68 : 35,274.92 = 10,856.32 : x
  2. Step 2: Convert to fraction form
    23,512.68/35,274.92 = 10,856.32/x
  3. Step 3: Cross multiply
    23,512.68x = 35,274.92 × 10,856.32
  4. Step 4: Simplify right side
    23,512.68x = 382,955,819.49
  5. Step 5: Solve for x
    x = 382,955,819.49/23,512.68
  6. Step 6: Final answer
    x = 16,287.20

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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.