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Finding the Fourth Proportional to 22,797.42, 31,460.22 and 12,725.61

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Solution

The fourth proportional to 22,797.42, 31,460.22 and 12,725.61 is: 17,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.42 : 31,460.22 = 12,725.61 : x
  2. Step 2: Convert to fraction form
    22,797.42/31,460.22 = 12,725.61/x
  3. Step 3: Cross multiply
    22,797.42x = 31,460.22 × 12,725.61
  4. Step 4: Simplify right side
    22,797.42x = 400,350,408.05
  5. Step 5: Solve for x
    x = 400,350,408.05/22,797.42
  6. Step 6: Final answer
    x = 17,561.21

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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.