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Finding the Fourth Proportional to 15,742.70, 21,724.92 and 8,668.94

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Solution

The fourth proportional to 15,742.70, 21,724.92 and 8,668.94 is: 11,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.70 : 21,724.92 = 8,668.94 : x
  2. Step 2: Convert to fraction form
    15,742.70/21,724.92 = 8,668.94/x
  3. Step 3: Cross multiply
    15,742.70x = 21,724.92 × 8,668.94
  4. Step 4: Simplify right side
    15,742.70x = 188,332,027.98
  5. Step 5: Solve for x
    x = 188,332,027.98/15,742.70
  6. Step 6: Final answer
    x = 11,963.13

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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.