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Finding the Fourth Proportional to 15,744.78, 21,709.77 and 11,759.16

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Solution

The fourth proportional to 15,744.78, 21,709.77 and 11,759.16 is: 16,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.78 : 21,709.77 = 11,759.16 : x
  2. Step 2: Convert to fraction form
    15,744.78/21,709.77 = 11,759.16/x
  3. Step 3: Cross multiply
    15,744.78x = 21,709.77 × 11,759.16
  4. Step 4: Simplify right side
    15,744.78x = 255,288,658.99
  5. Step 5: Solve for x
    x = 255,288,658.99/15,744.78
  6. Step 6: Final answer
    x = 16,214.18

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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.