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Finding the Fourth Proportional to 13,858.68, 20,790.08 and 5,092.92

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Solution

The fourth proportional to 13,858.68, 20,790.08 and 5,092.92 is: 7,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.68 : 20,790.08 = 5,092.92 : x
  2. Step 2: Convert to fraction form
    13,858.68/20,790.08 = 5,092.92/x
  3. Step 3: Cross multiply
    13,858.68x = 20,790.08 × 5,092.92
  4. Step 4: Simplify right side
    13,858.68x = 105,882,214.23
  5. Step 5: Solve for x
    x = 105,882,214.23/13,858.68
  6. Step 6: Final answer
    x = 7,640.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.