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Finding the Fourth Proportional to 19,855.10, 29,776.04 and 8,005.81

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Solution

The fourth proportional to 19,855.10, 29,776.04 and 8,005.81 is: 12,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.10 : 29,776.04 = 8,005.81 : x
  2. Step 2: Convert to fraction form
    19,855.10/29,776.04 = 8,005.81/x
  3. Step 3: Cross multiply
    19,855.10x = 29,776.04 × 8,005.81
  4. Step 4: Simplify right side
    19,855.10x = 238,381,231.42
  5. Step 5: Solve for x
    x = 238,381,231.42/19,855.10
  6. Step 6: Final answer
    x = 12,006.05

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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.