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Finding the Fourth Proportional to 22,657.82, 31,270.22 and 13,710.24

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Solution

The fourth proportional to 22,657.82, 31,270.22 and 13,710.24 is: 18,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.82 : 31,270.22 = 13,710.24 : x
  2. Step 2: Convert to fraction form
    22,657.82/31,270.22 = 13,710.24/x
  3. Step 3: Cross multiply
    22,657.82x = 31,270.22 × 13,710.24
  4. Step 4: Simplify right side
    22,657.82x = 428,722,221.05
  5. Step 5: Solve for x
    x = 428,722,221.05/22,657.82
  6. Step 6: Final answer
    x = 18,921.60

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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.