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Finding the Fourth Proportional to 13,846.87, 19,107.93 and 7,877.71

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Solution

The fourth proportional to 13,846.87, 19,107.93 and 7,877.71 is: 10,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.87 : 19,107.93 = 7,877.71 : x
  2. Step 2: Convert to fraction form
    13,846.87/19,107.93 = 7,877.71/x
  3. Step 3: Cross multiply
    13,846.87x = 19,107.93 × 7,877.71
  4. Step 4: Simplify right side
    13,846.87x = 150,526,731.24
  5. Step 5: Solve for x
    x = 150,526,731.24/13,846.87
  6. Step 6: Final answer
    x = 10,870.81

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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.