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Finding the Fourth Proportional to 15,726.22, 21,704.97 and 9,439

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Solution

The fourth proportional to 15,726.22, 21,704.97 and 9,439 is: 13,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.22 : 21,704.97 = 9,439 : x
  2. Step 2: Convert to fraction form
    15,726.22/21,704.97 = 9,439/x
  3. Step 3: Cross multiply
    15,726.22x = 21,704.97 × 9,439
  4. Step 4: Simplify right side
    15,726.22x = 204,873,211.83
  5. Step 5: Solve for x
    x = 204,873,211.83/15,726.22
  6. Step 6: Final answer
    x = 13,027.49

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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.