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Finding the Fourth Proportional to 16,187.10, 22,337.84 and 9,016.99

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Solution

The fourth proportional to 16,187.10, 22,337.84 and 9,016.99 is: 12,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.10 : 22,337.84 = 9,016.99 : x
  2. Step 2: Convert to fraction form
    16,187.10/22,337.84 = 9,016.99/x
  3. Step 3: Cross multiply
    16,187.10x = 22,337.84 × 9,016.99
  4. Step 4: Simplify right side
    16,187.10x = 201,420,079.90
  5. Step 5: Solve for x
    x = 201,420,079.90/16,187.10
  6. Step 6: Final answer
    x = 12,443.25

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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.