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Finding the Fourth Proportional to 12,169.05, 18,253.58 and 4,378.47

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Solution

The fourth proportional to 12,169.05, 18,253.58 and 4,378.47 is: 6,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.05 : 18,253.58 = 4,378.47 : x
  2. Step 2: Convert to fraction form
    12,169.05/18,253.58 = 4,378.47/x
  3. Step 3: Cross multiply
    12,169.05x = 18,253.58 × 4,378.47
  4. Step 4: Simplify right side
    12,169.05x = 79,922,730.53
  5. Step 5: Solve for x
    x = 79,922,730.53/12,169.05
  6. Step 6: Final answer
    x = 6,567.71

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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.