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Finding the Fourth Proportional to 13,433.88, 20,154.23 and 7,891.91

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Solution

The fourth proportional to 13,433.88, 20,154.23 and 7,891.91 is: 11,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.88 : 20,154.23 = 7,891.91 : x
  2. Step 2: Convert to fraction form
    13,433.88/20,154.23 = 7,891.91/x
  3. Step 3: Cross multiply
    13,433.88x = 20,154.23 × 7,891.91
  4. Step 4: Simplify right side
    13,433.88x = 159,055,369.28
  5. Step 5: Solve for x
    x = 159,055,369.28/13,433.88
  6. Step 6: Final answer
    x = 11,839.87

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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.