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Finding the Fourth Proportional to 13,855.96, 19,121.34 and 7,568.29

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Solution

The fourth proportional to 13,855.96, 19,121.34 and 7,568.29 is: 10,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.96 : 19,121.34 = 7,568.29 : x
  2. Step 2: Convert to fraction form
    13,855.96/19,121.34 = 7,568.29/x
  3. Step 3: Cross multiply
    13,855.96x = 19,121.34 × 7,568.29
  4. Step 4: Simplify right side
    13,855.96x = 144,715,846.31
  5. Step 5: Solve for x
    x = 144,715,846.31/13,855.96
  6. Step 6: Final answer
    x = 10,444.30

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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.