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Finding the Fourth Proportional to 16,236.10, 22,406.12 and 9,161.16

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Solution

The fourth proportional to 16,236.10, 22,406.12 and 9,161.16 is: 12,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236.10 : 22,406.12 = 9,161.16 : x
  2. Step 2: Convert to fraction form
    16,236.10/22,406.12 = 9,161.16/x
  3. Step 3: Cross multiply
    16,236.10x = 22,406.12 × 9,161.16
  4. Step 4: Simplify right side
    16,236.10x = 205,266,050.30
  5. Step 5: Solve for x
    x = 205,266,050.30/16,236.10
  6. Step 6: Final answer
    x = 12,642.57

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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.