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Finding the Fourth Proportional to 22,796.80, 31,474 and 15,638.69

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Solution

The fourth proportional to 22,796.80, 31,474 and 15,638.69 is: 21,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.80 : 31,474 = 15,638.69 : x
  2. Step 2: Convert to fraction form
    22,796.80/31,474 = 15,638.69/x
  3. Step 3: Cross multiply
    22,796.80x = 31,474 × 15,638.69
  4. Step 4: Simplify right side
    22,796.80x = 492,212,129.06
  5. Step 5: Solve for x
    x = 492,212,129.06/22,796.80
  6. Step 6: Final answer
    x = 21,591.28

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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.