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Finding the Fourth Proportional to 16,954.38, 23,396.93 and 9,400.71

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Solution

The fourth proportional to 16,954.38, 23,396.93 and 9,400.71 is: 12,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.38 : 23,396.93 = 9,400.71 : x
  2. Step 2: Convert to fraction form
    16,954.38/23,396.93 = 9,400.71/x
  3. Step 3: Cross multiply
    16,954.38x = 23,396.93 × 9,400.71
  4. Step 4: Simplify right side
    16,954.38x = 219,947,706.82
  5. Step 5: Solve for x
    x = 219,947,706.82/16,954.38
  6. Step 6: Final answer
    x = 12,972.92

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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.