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Finding the Fourth Proportional to 13,375.87, 18,454.14 and 7,710.43

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Solution

The fourth proportional to 13,375.87, 18,454.14 and 7,710.43 is: 10,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.87 : 18,454.14 = 7,710.43 : x
  2. Step 2: Convert to fraction form
    13,375.87/18,454.14 = 7,710.43/x
  3. Step 3: Cross multiply
    13,375.87x = 18,454.14 × 7,710.43
  4. Step 4: Simplify right side
    13,375.87x = 142,289,354.68
  5. Step 5: Solve for x
    x = 142,289,354.68/13,375.87
  6. Step 6: Final answer
    x = 10,637.76

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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.