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Finding the Fourth Proportional to 13,866.74, 20,808.29 and 7,293.43

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Solution

The fourth proportional to 13,866.74, 20,808.29 and 7,293.43 is: 10,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.74 : 20,808.29 = 7,293.43 : x
  2. Step 2: Convert to fraction form
    13,866.74/20,808.29 = 7,293.43/x
  3. Step 3: Cross multiply
    13,866.74x = 20,808.29 × 7,293.43
  4. Step 4: Simplify right side
    13,866.74x = 151,763,806.53
  5. Step 5: Solve for x
    x = 151,763,806.53/13,866.74
  6. Step 6: Final answer
    x = 10,944.45

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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.