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Finding the Fourth Proportional to 20,408.72, 28,164.02 and 11,456.24

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Solution

The fourth proportional to 20,408.72, 28,164.02 and 11,456.24 is: 15,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.72 : 28,164.02 = 11,456.24 : x
  2. Step 2: Convert to fraction form
    20,408.72/28,164.02 = 11,456.24/x
  3. Step 3: Cross multiply
    20,408.72x = 28,164.02 × 11,456.24
  4. Step 4: Simplify right side
    20,408.72x = 322,653,772.48
  5. Step 5: Solve for x
    x = 322,653,772.48/20,408.72
  6. Step 6: Final answer
    x = 15,809.60

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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.