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Finding the Fourth Proportional to 12,398.97, 18,683.69 and 10,255.71

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Solution

The fourth proportional to 12,398.97, 18,683.69 and 10,255.71 is: 15,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.97 : 18,683.69 = 10,255.71 : x
  2. Step 2: Convert to fraction form
    12,398.97/18,683.69 = 10,255.71/x
  3. Step 3: Cross multiply
    12,398.97x = 18,683.69 × 10,255.71
  4. Step 4: Simplify right side
    12,398.97x = 191,614,532.01
  5. Step 5: Solve for x
    x = 191,614,532.01/12,398.97
  6. Step 6: Final answer
    x = 15,454.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.