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Finding the Fourth Proportional to 19,894.71, 27,454.73 and 10,942.23

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Solution

The fourth proportional to 19,894.71, 27,454.73 and 10,942.23 is: 15,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.71 : 27,454.73 = 10,942.23 : x
  2. Step 2: Convert to fraction form
    19,894.71/27,454.73 = 10,942.23/x
  3. Step 3: Cross multiply
    19,894.71x = 27,454.73 × 10,942.23
  4. Step 4: Simplify right side
    19,894.71x = 300,415,915.54
  5. Step 5: Solve for x
    x = 300,415,915.54/19,894.71
  6. Step 6: Final answer
    x = 15,100.29

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1.5x scale

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.