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Finding the Fourth Proportional to 13,511.64, 18,644.16 and 7,542.48

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Solution

The fourth proportional to 13,511.64, 18,644.16 and 7,542.48 is: 10,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.64 : 18,644.16 = 7,542.48 : x
  2. Step 2: Convert to fraction form
    13,511.64/18,644.16 = 7,542.48/x
  3. Step 3: Cross multiply
    13,511.64x = 18,644.16 × 7,542.48
  4. Step 4: Simplify right side
    13,511.64x = 140,623,203.92
  5. Step 5: Solve for x
    x = 140,623,203.92/13,511.64
  6. Step 6: Final answer
    x = 10,407.56

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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.