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Finding the Fourth Proportional to 16,186.71, 22,337.64 and 9,115.41

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Solution

The fourth proportional to 16,186.71, 22,337.64 and 9,115.41 is: 12,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.71 : 22,337.64 = 9,115.41 : x
  2. Step 2: Convert to fraction form
    16,186.71/22,337.64 = 9,115.41/x
  3. Step 3: Cross multiply
    16,186.71x = 22,337.64 × 9,115.41
  4. Step 4: Simplify right side
    16,186.71x = 203,616,747.03
  5. Step 5: Solve for x
    x = 203,616,747.03/16,186.71
  6. Step 6: Final answer
    x = 12,579.25

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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.