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Finding the Fourth Proportional to 13,611.57, 20,378.40 and 9,221.23

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Solution

The fourth proportional to 13,611.57, 20,378.40 and 9,221.23 is: 13,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.57 : 20,378.40 = 9,221.23 : x
  2. Step 2: Convert to fraction form
    13,611.57/20,378.40 = 9,221.23/x
  3. Step 3: Cross multiply
    13,611.57x = 20,378.40 × 9,221.23
  4. Step 4: Simplify right side
    13,611.57x = 187,913,913.43
  5. Step 5: Solve for x
    x = 187,913,913.43/13,611.57
  6. Step 6: Final answer
    x = 13,805.45

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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.