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Finding the Fourth Proportional to 12,410.25, 18,627.69 and 10,097.52

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Solution

The fourth proportional to 12,410.25, 18,627.69 and 10,097.52 is: 15,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.25 : 18,627.69 = 10,097.52 : x
  2. Step 2: Convert to fraction form
    12,410.25/18,627.69 = 10,097.52/x
  3. Step 3: Cross multiply
    12,410.25x = 18,627.69 × 10,097.52
  4. Step 4: Simplify right side
    12,410.25x = 188,093,472.33
  5. Step 5: Solve for x
    x = 188,093,472.33/12,410.25
  6. Step 6: Final answer
    x = 15,156.30

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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.