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Finding the Fourth Proportional to 22,974.52, 31,704.86 and 13,038.52

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Solution

The fourth proportional to 22,974.52, 31,704.86 and 13,038.52 is: 17,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.52 : 31,704.86 = 13,038.52 : x
  2. Step 2: Convert to fraction form
    22,974.52/31,704.86 = 13,038.52/x
  3. Step 3: Cross multiply
    22,974.52x = 31,704.86 × 13,038.52
  4. Step 4: Simplify right side
    22,974.52x = 413,384,451.21
  5. Step 5: Solve for x
    x = 413,384,451.21/22,974.52
  6. Step 6: Final answer
    x = 17,993.17

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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.