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Finding the Fourth Proportional to 24,947.82, 34,428.03 and 13,769.82

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Solution

The fourth proportional to 24,947.82, 34,428.03 and 13,769.82 is: 19,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947.82 : 34,428.03 = 13,769.82 : x
  2. Step 2: Convert to fraction form
    24,947.82/34,428.03 = 13,769.82/x
  3. Step 3: Cross multiply
    24,947.82x = 34,428.03 × 13,769.82
  4. Step 4: Simplify right side
    24,947.82x = 474,067,776.05
  5. Step 5: Solve for x
    x = 474,067,776.05/24,947.82
  6. Step 6: Final answer
    x = 19,002.37

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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.