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Finding the Fourth Proportional to 16,191.78, 24,272.10 and 8,298.03

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Solution

The fourth proportional to 16,191.78, 24,272.10 and 8,298.03 is: 12,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.78 : 24,272.10 = 8,298.03 : x
  2. Step 2: Convert to fraction form
    16,191.78/24,272.10 = 8,298.03/x
  3. Step 3: Cross multiply
    16,191.78x = 24,272.10 × 8,298.03
  4. Step 4: Simplify right side
    16,191.78x = 201,410,613.96
  5. Step 5: Solve for x
    x = 201,410,613.96/16,191.78
  6. Step 6: Final answer
    x = 12,439.07

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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.