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Finding the Fourth Proportional to 19,780.80, 29,682.12 and 8,102.20

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Solution

The fourth proportional to 19,780.80, 29,682.12 and 8,102.20 is: 12,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.80 : 29,682.12 = 8,102.20 : x
  2. Step 2: Convert to fraction form
    19,780.80/29,682.12 = 8,102.20/x
  3. Step 3: Cross multiply
    19,780.80x = 29,682.12 × 8,102.20
  4. Step 4: Simplify right side
    19,780.80x = 240,490,472.66
  5. Step 5: Solve for x
    x = 240,490,472.66/19,780.80
  6. Step 6: Final answer
    x = 12,157.77

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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.