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Finding the Fourth Proportional to 19,729.10, 27,228.72 and 13,028.78

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Solution

The fourth proportional to 19,729.10, 27,228.72 and 13,028.78 is: 17,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.10 : 27,228.72 = 13,028.78 : x
  2. Step 2: Convert to fraction form
    19,729.10/27,228.72 = 13,028.78/x
  3. Step 3: Cross multiply
    19,729.10x = 27,228.72 × 13,028.78
  4. Step 4: Simplify right side
    19,729.10x = 354,757,002.56
  5. Step 5: Solve for x
    x = 354,757,002.56/19,729.10
  6. Step 6: Final answer
    x = 17,981.41

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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.