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Finding the Fourth Proportional to 16,169.85, 22,313.34 and 9,096.12

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Solution

The fourth proportional to 16,169.85, 22,313.34 and 9,096.12 is: 12,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.85 : 22,313.34 = 9,096.12 : x
  2. Step 2: Convert to fraction form
    16,169.85/22,313.34 = 9,096.12/x
  3. Step 3: Cross multiply
    16,169.85x = 22,313.34 × 9,096.12
  4. Step 4: Simplify right side
    16,169.85x = 202,964,818.24
  5. Step 5: Solve for x
    x = 202,964,818.24/16,169.85
  6. Step 6: Final answer
    x = 12,552.05

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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.