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Finding the Fourth Proportional to 22,972, 31,704.18 and 14,019.28

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Solution

The fourth proportional to 22,972, 31,704.18 and 14,019.28 is: 19,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972 : 31,704.18 = 14,019.28 : x
  2. Step 2: Convert to fraction form
    22,972/31,704.18 = 14,019.28/x
  3. Step 3: Cross multiply
    22,972x = 31,704.18 × 14,019.28
  4. Step 4: Simplify right side
    22,972x = 444,469,776.59
  5. Step 5: Solve for x
    x = 444,469,776.59/22,972
  6. Step 6: Final answer
    x = 19,348.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.