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Finding the Fourth Proportional to 16,096.53, 22,212.81 and 9,024.42

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Solution

The fourth proportional to 16,096.53, 22,212.81 and 9,024.42 is: 12,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.53 : 22,212.81 = 9,024.42 : x
  2. Step 2: Convert to fraction form
    16,096.53/22,212.81 = 9,024.42/x
  3. Step 3: Cross multiply
    16,096.53x = 22,212.81 × 9,024.42
  4. Step 4: Simplify right side
    16,096.53x = 200,457,726.82
  5. Step 5: Solve for x
    x = 200,457,726.82/16,096.53
  6. Step 6: Final answer
    x = 12,453.47

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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.