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Finding the Fourth Proportional to 22,973.92, 31,704.24 and 13,036

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Solution

The fourth proportional to 22,973.92, 31,704.24 and 13,036 is: 17,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973.92 : 31,704.24 = 13,036 : x
  2. Step 2: Convert to fraction form
    22,973.92/31,704.24 = 13,036/x
  3. Step 3: Cross multiply
    22,973.92x = 31,704.24 × 13,036
  4. Step 4: Simplify right side
    22,973.92x = 413,296,472.64
  5. Step 5: Solve for x
    x = 413,296,472.64/22,973.92
  6. Step 6: Final answer
    x = 17,989.81

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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.