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Finding the Fourth Proportional to 20,208.59, 27,888.63 and 11,711

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Solution

The fourth proportional to 20,208.59, 27,888.63 and 11,711 is: 16,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.59 : 27,888.63 = 11,711 : x
  2. Step 2: Convert to fraction form
    20,208.59/27,888.63 = 11,711/x
  3. Step 3: Cross multiply
    20,208.59x = 27,888.63 × 11,711
  4. Step 4: Simplify right side
    20,208.59x = 326,603,745.93
  5. Step 5: Solve for x
    x = 326,603,745.93/20,208.59
  6. Step 6: Final answer
    x = 16,161.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.