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Finding the Fourth Proportional to 16,189.77, 22,341.09 and 9,016.41

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Solution

The fourth proportional to 16,189.77, 22,341.09 and 9,016.41 is: 12,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.77 : 22,341.09 = 9,016.41 : x
  2. Step 2: Convert to fraction form
    16,189.77/22,341.09 = 9,016.41/x
  3. Step 3: Cross multiply
    16,189.77x = 22,341.09 × 9,016.41
  4. Step 4: Simplify right side
    16,189.77x = 201,436,382.20
  5. Step 5: Solve for x
    x = 201,436,382.20/16,189.77
  6. Step 6: Final answer
    x = 12,442.20

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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.