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Finding the Fourth Proportional to 20,365.34, 28,105.98 and 11,867

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Solution

The fourth proportional to 20,365.34, 28,105.98 and 11,867 is: 16,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,365.34 : 28,105.98 = 11,867 : x
  2. Step 2: Convert to fraction form
    20,365.34/28,105.98 = 11,867/x
  3. Step 3: Cross multiply
    20,365.34x = 28,105.98 × 11,867
  4. Step 4: Simplify right side
    20,365.34x = 333,533,664.66
  5. Step 5: Solve for x
    x = 333,533,664.66/20,365.34
  6. Step 6: Final answer
    x = 16,377.52

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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.