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Finding the Fourth Proportional to 10,233.98, 15,349.25 and 2,839.19

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Solution

The fourth proportional to 10,233.98, 15,349.25 and 2,839.19 is: 4,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.98 : 15,349.25 = 2,839.19 : x
  2. Step 2: Convert to fraction form
    10,233.98/15,349.25 = 2,839.19/x
  3. Step 3: Cross multiply
    10,233.98x = 15,349.25 × 2,839.19
  4. Step 4: Simplify right side
    10,233.98x = 43,579,367.46
  5. Step 5: Solve for x
    x = 43,579,367.46/10,233.98
  6. Step 6: Final answer
    x = 4,258.30

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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.