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Finding the Fourth Proportional to 12,377.81, 17,081.42 and 7,344.53

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Solution

The fourth proportional to 12,377.81, 17,081.42 and 7,344.53 is: 10,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.81 : 17,081.42 = 7,344.53 : x
  2. Step 2: Convert to fraction form
    12,377.81/17,081.42 = 7,344.53/x
  3. Step 3: Cross multiply
    12,377.81x = 17,081.42 × 7,344.53
  4. Step 4: Simplify right side
    12,377.81x = 125,454,879.50
  5. Step 5: Solve for x
    x = 125,454,879.50/12,377.81
  6. Step 6: Final answer
    x = 10,135.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.