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Finding the Fourth Proportional to 12,490.20, 17,236.25 and 6,824.81

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Solution

The fourth proportional to 12,490.20, 17,236.25 and 6,824.81 is: 9,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.20 : 17,236.25 = 6,824.81 : x
  2. Step 2: Convert to fraction form
    12,490.20/17,236.25 = 6,824.81/x
  3. Step 3: Cross multiply
    12,490.20x = 17,236.25 × 6,824.81
  4. Step 4: Simplify right side
    12,490.20x = 117,634,140.33
  5. Step 5: Solve for x
    x = 117,634,140.33/12,490.20
  6. Step 6: Final answer
    x = 9,418.12

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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.