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Finding the Fourth Proportional to 15,744.61, 21,729.09 and 11,758.80

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Solution

The fourth proportional to 15,744.61, 21,729.09 and 11,758.80 is: 16,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.61 : 21,729.09 = 11,758.80 : x
  2. Step 2: Convert to fraction form
    15,744.61/21,729.09 = 11,758.80/x
  3. Step 3: Cross multiply
    15,744.61x = 21,729.09 × 11,758.80
  4. Step 4: Simplify right side
    15,744.61x = 255,508,023.49
  5. Step 5: Solve for x
    x = 255,508,023.49/15,744.61
  6. Step 6: Final answer
    x = 16,228.29

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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.