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Finding the Fourth Proportional to 16,241.39, 22,412.47 and 10,194.85

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Solution

The fourth proportional to 16,241.39, 22,412.47 and 10,194.85 is: 14,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.39 : 22,412.47 = 10,194.85 : x
  2. Step 2: Convert to fraction form
    16,241.39/22,412.47 = 10,194.85/x
  3. Step 3: Cross multiply
    16,241.39x = 22,412.47 × 10,194.85
  4. Step 4: Simplify right side
    16,241.39x = 228,491,769.78
  5. Step 5: Solve for x
    x = 228,491,769.78/16,241.39
  6. Step 6: Final answer
    x = 14,068.49

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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.