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Finding the Fourth Proportional to 13,507.68, 18,644.58 and 7,843.80

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Solution

The fourth proportional to 13,507.68, 18,644.58 and 7,843.80 is: 10,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.68 : 18,644.58 = 7,843.80 : x
  2. Step 2: Convert to fraction form
    13,507.68/18,644.58 = 7,843.80/x
  3. Step 3: Cross multiply
    13,507.68x = 18,644.58 × 7,843.80
  4. Step 4: Simplify right side
    13,507.68x = 146,244,356.60
  5. Step 5: Solve for x
    x = 146,244,356.60/13,507.68
  6. Step 6: Final answer
    x = 10,826.76

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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.