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Finding the Fourth Proportional to 24,984.78, 34,478.97 and 13,806.78

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Solution

The fourth proportional to 24,984.78, 34,478.97 and 13,806.78 is: 19,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,984.78 : 34,478.97 = 13,806.78 : x
  2. Step 2: Convert to fraction form
    24,984.78/34,478.97 = 13,806.78/x
  3. Step 3: Cross multiply
    24,984.78x = 34,478.97 × 13,806.78
  4. Step 4: Simplify right side
    24,984.78x = 476,043,553.42
  5. Step 5: Solve for x
    x = 476,043,553.42/24,984.78
  6. Step 6: Final answer
    x = 19,053.34

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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.