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Finding the Fourth Proportional to 20,821.07, 28,733.82 and 11,867.13

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Solution

The fourth proportional to 20,821.07, 28,733.82 and 11,867.13 is: 16,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821.07 : 28,733.82 = 11,867.13 : x
  2. Step 2: Convert to fraction form
    20,821.07/28,733.82 = 11,867.13/x
  3. Step 3: Cross multiply
    20,821.07x = 28,733.82 × 11,867.13
  4. Step 4: Simplify right side
    20,821.07x = 340,988,021.84
  5. Step 5: Solve for x
    x = 340,988,021.84/20,821.07
  6. Step 6: Final answer
    x = 16,377.06

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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.