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Finding the Fourth Proportional to 13,806.40, 20,721.41 and 5,492.27

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Solution

The fourth proportional to 13,806.40, 20,721.41 and 5,492.27 is: 8,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.40 : 20,721.41 = 5,492.27 : x
  2. Step 2: Convert to fraction form
    13,806.40/20,721.41 = 5,492.27/x
  3. Step 3: Cross multiply
    13,806.40x = 20,721.41 × 5,492.27
  4. Step 4: Simplify right side
    13,806.40x = 113,807,578.50
  5. Step 5: Solve for x
    x = 113,807,578.50/13,806.40
  6. Step 6: Final answer
    x = 8,243.10

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Why These Related Problems?

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