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Finding the Fourth Proportional to 15,742.73, 21,724.83 and 8,669

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Solution

The fourth proportional to 15,742.73, 21,724.83 and 8,669 is: 11,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.73 : 21,724.83 = 8,669 : x
  2. Step 2: Convert to fraction form
    15,742.73/21,724.83 = 8,669/x
  3. Step 3: Cross multiply
    15,742.73x = 21,724.83 × 8,669
  4. Step 4: Simplify right side
    15,742.73x = 188,332,551.27
  5. Step 5: Solve for x
    x = 188,332,551.27/15,742.73
  6. Step 6: Final answer
    x = 11,963.14

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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.