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Finding the Fourth Proportional to 21,972.40, 32,951.40 and 8,119.60

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Solution

The fourth proportional to 21,972.40, 32,951.40 and 8,119.60 is: 12,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.40 : 32,951.40 = 8,119.60 : x
  2. Step 2: Convert to fraction form
    21,972.40/32,951.40 = 8,119.60/x
  3. Step 3: Cross multiply
    21,972.40x = 32,951.40 × 8,119.60
  4. Step 4: Simplify right side
    21,972.40x = 267,552,187.44
  5. Step 5: Solve for x
    x = 267,552,187.44/21,972.40
  6. Step 6: Final answer
    x = 12,176.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.