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Finding the Fourth Proportional to 16,093.30, 22,208.71 and 9,805.68

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Solution

The fourth proportional to 16,093.30, 22,208.71 and 9,805.68 is: 13,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.30 : 22,208.71 = 9,805.68 : x
  2. Step 2: Convert to fraction form
    16,093.30/22,208.71 = 9,805.68/x
  3. Step 3: Cross multiply
    16,093.30x = 22,208.71 × 9,805.68
  4. Step 4: Simplify right side
    16,093.30x = 217,771,503.47
  5. Step 5: Solve for x
    x = 217,771,503.47/16,093.30
  6. Step 6: Final answer
    x = 13,531.81

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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.