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Finding the Fourth Proportional to 13,826.22, 20,737.29 and 6,804.33

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Solution

The fourth proportional to 13,826.22, 20,737.29 and 6,804.33 is: 10,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.22 : 20,737.29 = 6,804.33 : x
  2. Step 2: Convert to fraction form
    13,826.22/20,737.29 = 6,804.33/x
  3. Step 3: Cross multiply
    13,826.22x = 20,737.29 × 6,804.33
  4. Step 4: Simplify right side
    13,826.22x = 141,103,364.47
  5. Step 5: Solve for x
    x = 141,103,364.47/13,826.22
  6. Step 6: Final answer
    x = 10,205.49

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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.