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Finding the Fourth Proportional to 12,481.69, 17,233.40 and 10,102.25

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Solution

The fourth proportional to 12,481.69, 17,233.40 and 10,102.25 is: 13,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481.69 : 17,233.40 = 10,102.25 : x
  2. Step 2: Convert to fraction form
    12,481.69/17,233.40 = 10,102.25/x
  3. Step 3: Cross multiply
    12,481.69x = 17,233.40 × 10,102.25
  4. Step 4: Simplify right side
    12,481.69x = 174,096,115.15
  5. Step 5: Solve for x
    x = 174,096,115.15/12,481.69
  6. Step 6: Final answer
    x = 13,948.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.