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Finding the Fourth Proportional to 13,902.22, 20,853.72 and 4,542.82

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Solution

The fourth proportional to 13,902.22, 20,853.72 and 4,542.82 is: 6,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.22 : 20,853.72 = 4,542.82 : x
  2. Step 2: Convert to fraction form
    13,902.22/20,853.72 = 4,542.82/x
  3. Step 3: Cross multiply
    13,902.22x = 20,853.72 × 4,542.82
  4. Step 4: Simplify right side
    13,902.22x = 94,734,696.29
  5. Step 5: Solve for x
    x = 94,734,696.29/13,902.22
  6. Step 6: Final answer
    x = 6,814.36

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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.