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Finding the Fourth Proportional to 14,162.94, 19,544.89 and 7,876.53

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Solution

The fourth proportional to 14,162.94, 19,544.89 and 7,876.53 is: 10,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.94 : 19,544.89 = 7,876.53 : x
  2. Step 2: Convert to fraction form
    14,162.94/19,544.89 = 7,876.53/x
  3. Step 3: Cross multiply
    14,162.94x = 19,544.89 × 7,876.53
  4. Step 4: Simplify right side
    14,162.94x = 153,945,912.43
  5. Step 5: Solve for x
    x = 153,945,912.43/14,162.94
  6. Step 6: Final answer
    x = 10,869.63

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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.