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Finding the Fourth Proportional to 23,627.20, 35,449 and 10,488.80

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Solution

The fourth proportional to 23,627.20, 35,449 and 10,488.80 is: 15,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627.20 : 35,449 = 10,488.80 : x
  2. Step 2: Convert to fraction form
    23,627.20/35,449 = 10,488.80/x
  3. Step 3: Cross multiply
    23,627.20x = 35,449 × 10,488.80
  4. Step 4: Simplify right side
    23,627.20x = 371,817,471.20
  5. Step 5: Solve for x
    x = 371,817,471.20/23,627.20
  6. Step 6: Final answer
    x = 15,736.84

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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.