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Finding the Fourth Proportional to 13,511, 18,644.82 and 7,542.50

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Solution

The fourth proportional to 13,511, 18,644.82 and 7,542.50 is: 10,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511 : 18,644.82 = 7,542.50 : x
  2. Step 2: Convert to fraction form
    13,511/18,644.82 = 7,542.50/x
  3. Step 3: Cross multiply
    13,511x = 18,644.82 × 7,542.50
  4. Step 4: Simplify right side
    13,511x = 140,628,554.85
  5. Step 5: Solve for x
    x = 140,628,554.85/13,511
  6. Step 6: Final answer
    x = 10,408.45

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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.