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Finding the Fourth Proportional to 19,776.80, 29,676.12 and 8,098.20

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Solution

The fourth proportional to 19,776.80, 29,676.12 and 8,098.20 is: 12,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.80 : 29,676.12 = 8,098.20 : x
  2. Step 2: Convert to fraction form
    19,776.80/29,676.12 = 8,098.20/x
  3. Step 3: Cross multiply
    19,776.80x = 29,676.12 × 8,098.20
  4. Step 4: Simplify right side
    19,776.80x = 240,323,154.98
  5. Step 5: Solve for x
    x = 240,323,154.98/19,776.80
  6. Step 6: Final answer
    x = 12,151.77

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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.