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Finding the Fourth Proportional to 8,029.80, 12,020.40 and 8,029.80

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Solution

The fourth proportional to 8,029.80, 12,020.40 and 8,029.80 is: 12,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.80 : 12,020.40 = 8,029.80 : x
  2. Step 2: Convert to fraction form
    8,029.80/12,020.40 = 8,029.80/x
  3. Step 3: Cross multiply
    8,029.80x = 12,020.40 × 8,029.80
  4. Step 4: Simplify right side
    8,029.80x = 96,521,407.92
  5. Step 5: Solve for x
    x = 96,521,407.92/8,029.80
  6. Step 6: Final answer
    x = 12,020.40

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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.