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Finding the Fourth Proportional to 12,376.86, 18,543.68 and 10,310.14

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Solution

The fourth proportional to 12,376.86, 18,543.68 and 10,310.14 is: 15,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.86 : 18,543.68 = 10,310.14 : x
  2. Step 2: Convert to fraction form
    12,376.86/18,543.68 = 10,310.14/x
  3. Step 3: Cross multiply
    12,376.86x = 18,543.68 × 10,310.14
  4. Step 4: Simplify right side
    12,376.86x = 191,187,936.92
  5. Step 5: Solve for x
    x = 191,187,936.92/12,376.86
  6. Step 6: Final answer
    x = 15,447.21

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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.