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Finding the Fourth Proportional to 24,947.28, 34,427.22 and 13,769.28

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Solution

The fourth proportional to 24,947.28, 34,427.22 and 13,769.28 is: 19,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947.28 : 34,427.22 = 13,769.28 : x
  2. Step 2: Convert to fraction form
    24,947.28/34,427.22 = 13,769.28/x
  3. Step 3: Cross multiply
    24,947.28x = 34,427.22 × 13,769.28
  4. Step 4: Simplify right side
    24,947.28x = 474,038,031.80
  5. Step 5: Solve for x
    x = 474,038,031.80/24,947.28
  6. Step 6: Final answer
    x = 19,001.59

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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.