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Finding the Fourth Proportional to 12,376.78, 18,559.50 and 6,828.28

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Solution

The fourth proportional to 12,376.78, 18,559.50 and 6,828.28 is: 10,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.78 : 18,559.50 = 6,828.28 : x
  2. Step 2: Convert to fraction form
    12,376.78/18,559.50 = 6,828.28/x
  3. Step 3: Cross multiply
    12,376.78x = 18,559.50 × 6,828.28
  4. Step 4: Simplify right side
    12,376.78x = 126,729,462.66
  5. Step 5: Solve for x
    x = 126,729,462.66/12,376.78
  6. Step 6: Final answer
    x = 10,239.29

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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.