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Finding the Fourth Proportional to 22,275.48, 30,739.02 and 12,843.48

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Solution

The fourth proportional to 22,275.48, 30,739.02 and 12,843.48 is: 17,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.48 : 30,739.02 = 12,843.48 : x
  2. Step 2: Convert to fraction form
    22,275.48/30,739.02 = 12,843.48/x
  3. Step 3: Cross multiply
    22,275.48x = 30,739.02 × 12,843.48
  4. Step 4: Simplify right side
    22,275.48x = 394,795,988.59
  5. Step 5: Solve for x
    x = 394,795,988.59/22,275.48
  6. Step 6: Final answer
    x = 17,723.34

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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.