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Finding the Fourth Proportional to 20,265.68, 27,973.32 and 11,882

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Solution

The fourth proportional to 20,265.68, 27,973.32 and 11,882 is: 16,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.68 : 27,973.32 = 11,882 : x
  2. Step 2: Convert to fraction form
    20,265.68/27,973.32 = 11,882/x
  3. Step 3: Cross multiply
    20,265.68x = 27,973.32 × 11,882
  4. Step 4: Simplify right side
    20,265.68x = 332,378,988.24
  5. Step 5: Solve for x
    x = 332,378,988.24/20,265.68
  6. Step 6: Final answer
    x = 16,401.08

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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.