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Finding the Fourth Proportional to 16,737.96, 23,096.67 and 10,023.42

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Solution

The fourth proportional to 16,737.96, 23,096.67 and 10,023.42 is: 13,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737.96 : 23,096.67 = 10,023.42 : x
  2. Step 2: Convert to fraction form
    16,737.96/23,096.67 = 10,023.42/x
  3. Step 3: Cross multiply
    16,737.96x = 23,096.67 × 10,023.42
  4. Step 4: Simplify right side
    16,737.96x = 231,507,624.01
  5. Step 5: Solve for x
    x = 231,507,624.01/16,737.96
  6. Step 6: Final answer
    x = 13,831.29

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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.