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Finding the Fourth Proportional to 12,384.93, 18,545.68 and 6,832.10

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Solution

The fourth proportional to 12,384.93, 18,545.68 and 6,832.10 is: 10,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.93 : 18,545.68 = 6,832.10 : x
  2. Step 2: Convert to fraction form
    12,384.93/18,545.68 = 6,832.10/x
  3. Step 3: Cross multiply
    12,384.93x = 18,545.68 × 6,832.10
  4. Step 4: Simplify right side
    12,384.93x = 126,705,906.17
  5. Step 5: Solve for x
    x = 126,705,906.17/12,384.93
  6. Step 6: Final answer
    x = 10,230.65

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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.