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Finding the Fourth Proportional to 21,176.80, 31,765.20 and 8,029.60

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Solution

The fourth proportional to 21,176.80, 31,765.20 and 8,029.60 is: 12,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.80 : 31,765.20 = 8,029.60 : x
  2. Step 2: Convert to fraction form
    21,176.80/31,765.20 = 8,029.60/x
  3. Step 3: Cross multiply
    21,176.80x = 31,765.20 × 8,029.60
  4. Step 4: Simplify right side
    21,176.80x = 255,061,849.92
  5. Step 5: Solve for x
    x = 255,061,849.92/21,176.80
  6. Step 6: Final answer
    x = 12,044.40

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