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Finding the Fourth Proportional to 13,998.24, 21,006 and 5,239.44

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Solution

The fourth proportional to 13,998.24, 21,006 and 5,239.44 is: 7,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.24 : 21,006 = 5,239.44 : x
  2. Step 2: Convert to fraction form
    13,998.24/21,006 = 5,239.44/x
  3. Step 3: Cross multiply
    13,998.24x = 21,006 × 5,239.44
  4. Step 4: Simplify right side
    13,998.24x = 110,059,676.64
  5. Step 5: Solve for x
    x = 110,059,676.64/13,998.24
  6. Step 6: Final answer
    x = 7,862.39

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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.