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Finding the Fourth Proportional to 21,882.60, 32,823.90 and 8,029.80

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Solution

The fourth proportional to 21,882.60, 32,823.90 and 8,029.80 is: 12,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.60 : 32,823.90 = 8,029.80 : x
  2. Step 2: Convert to fraction form
    21,882.60/32,823.90 = 8,029.80/x
  3. Step 3: Cross multiply
    21,882.60x = 32,823.90 × 8,029.80
  4. Step 4: Simplify right side
    21,882.60x = 263,569,352.22
  5. Step 5: Solve for x
    x = 263,569,352.22/21,882.60
  6. Step 6: Final answer
    x = 12,044.70

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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.