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Finding the Fourth Proportional to 22,951.94, 31,672.97 and 12,742.75

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Solution

The fourth proportional to 22,951.94, 31,672.97 and 12,742.75 is: 17,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.94 : 31,672.97 = 12,742.75 : x
  2. Step 2: Convert to fraction form
    22,951.94/31,672.97 = 12,742.75/x
  3. Step 3: Cross multiply
    22,951.94x = 31,672.97 × 12,742.75
  4. Step 4: Simplify right side
    22,951.94x = 403,600,756.48
  5. Step 5: Solve for x
    x = 403,600,756.48/22,951.94
  6. Step 6: Final answer
    x = 17,584.60

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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.