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Finding the Fourth Proportional to 16,078.88, 22,189.26 and 9,005.12

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Solution

The fourth proportional to 16,078.88, 22,189.26 and 9,005.12 is: 12,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.88 : 22,189.26 = 9,005.12 : x
  2. Step 2: Convert to fraction form
    16,078.88/22,189.26 = 9,005.12/x
  3. Step 3: Cross multiply
    16,078.88x = 22,189.26 × 9,005.12
  4. Step 4: Simplify right side
    16,078.88x = 199,816,949.01
  5. Step 5: Solve for x
    x = 199,816,949.01/16,078.88
  6. Step 6: Final answer
    x = 12,427.29

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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.