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Finding the Fourth Proportional to 16,161.68, 24,257.13 and 6,808.64

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Solution

The fourth proportional to 16,161.68, 24,257.13 and 6,808.64 is: 10,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.68 : 24,257.13 = 6,808.64 : x
  2. Step 2: Convert to fraction form
    16,161.68/24,257.13 = 6,808.64/x
  3. Step 3: Cross multiply
    16,161.68x = 24,257.13 × 6,808.64
  4. Step 4: Simplify right side
    16,161.68x = 165,158,065.60
  5. Step 5: Solve for x
    x = 165,158,065.60/16,161.68
  6. Step 6: Final answer
    x = 10,219.11

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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.