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Finding the Fourth Proportional to 13,691.23, 18,893.52 and 7,722.54

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Solution

The fourth proportional to 13,691.23, 18,893.52 and 7,722.54 is: 10,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.23 : 18,893.52 = 7,722.54 : x
  2. Step 2: Convert to fraction form
    13,691.23/18,893.52 = 7,722.54/x
  3. Step 3: Cross multiply
    13,691.23x = 18,893.52 × 7,722.54
  4. Step 4: Simplify right side
    13,691.23x = 145,905,963.94
  5. Step 5: Solve for x
    x = 145,905,963.94/13,691.23
  6. Step 6: Final answer
    x = 10,656.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.