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Finding the Fourth Proportional to 16,171.72, 22,315.78 and 9,096.78

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Solution

The fourth proportional to 16,171.72, 22,315.78 and 9,096.78 is: 12,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.72 : 22,315.78 = 9,096.78 : x
  2. Step 2: Convert to fraction form
    16,171.72/22,315.78 = 9,096.78/x
  3. Step 3: Cross multiply
    16,171.72x = 22,315.78 × 9,096.78
  4. Step 4: Simplify right side
    16,171.72x = 203,001,741.19
  5. Step 5: Solve for x
    x = 203,001,741.19/16,171.72
  6. Step 6: Final answer
    x = 12,552.88

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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.