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Finding the Fourth Proportional to 13,585.44, 20,371.84 and 7,964.80

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Solution

The fourth proportional to 13,585.44, 20,371.84 and 7,964.80 is: 11,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.44 : 20,371.84 = 7,964.80 : x
  2. Step 2: Convert to fraction form
    13,585.44/20,371.84 = 7,964.80/x
  3. Step 3: Cross multiply
    13,585.44x = 20,371.84 × 7,964.80
  4. Step 4: Simplify right side
    13,585.44x = 162,257,631.23
  5. Step 5: Solve for x
    x = 162,257,631.23/13,585.44
  6. Step 6: Final answer
    x = 11,943.49

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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.