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Finding the Fourth Proportional to 13,826.70, 19,081.98 and 7,860.24

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Solution

The fourth proportional to 13,826.70, 19,081.98 and 7,860.24 is: 10,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.70 : 19,081.98 = 7,860.24 : x
  2. Step 2: Convert to fraction form
    13,826.70/19,081.98 = 7,860.24/x
  3. Step 3: Cross multiply
    13,826.70x = 19,081.98 × 7,860.24
  4. Step 4: Simplify right side
    13,826.70x = 149,988,942.48
  5. Step 5: Solve for x
    x = 149,988,942.48/13,826.70
  6. Step 6: Final answer
    x = 10,847.78

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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.