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Finding the Fourth Proportional to 15,439, 21,297.97 and 9,764.19

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Solution

The fourth proportional to 15,439, 21,297.97 and 9,764.19 is: 13,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,439 : 21,297.97 = 9,764.19 : x
  2. Step 2: Convert to fraction form
    15,439/21,297.97 = 9,764.19/x
  3. Step 3: Cross multiply
    15,439x = 21,297.97 × 9,764.19
  4. Step 4: Simplify right side
    15,439x = 207,957,425.69
  5. Step 5: Solve for x
    x = 207,957,425.69/15,439
  6. Step 6: Final answer
    x = 13,469.62

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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.