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Finding the Fourth Proportional to 12,190.58, 18,280.10 and 5,614.82

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Solution

The fourth proportional to 12,190.58, 18,280.10 and 5,614.82 is: 8,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.58 : 18,280.10 = 5,614.82 : x
  2. Step 2: Convert to fraction form
    12,190.58/18,280.10 = 5,614.82/x
  3. Step 3: Cross multiply
    12,190.58x = 18,280.10 × 5,614.82
  4. Step 4: Simplify right side
    12,190.58x = 102,639,471.08
  5. Step 5: Solve for x
    x = 102,639,471.08/12,190.58
  6. Step 6: Final answer
    x = 8,419.57

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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.