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Finding the Fourth Proportional to 16,169.78, 22,314.20 and 9,096.06

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Solution

The fourth proportional to 16,169.78, 22,314.20 and 9,096.06 is: 12,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.78 : 22,314.20 = 9,096.06 : x
  2. Step 2: Convert to fraction form
    16,169.78/22,314.20 = 9,096.06/x
  3. Step 3: Cross multiply
    16,169.78x = 22,314.20 × 9,096.06
  4. Step 4: Simplify right side
    16,169.78x = 202,971,302.05
  5. Step 5: Solve for x
    x = 202,971,302.05/16,169.78
  6. Step 6: Final answer
    x = 12,552.51

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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.