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Finding the Fourth Proportional to 13,508.54, 18,643.19 and 7,542.26

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Solution

The fourth proportional to 13,508.54, 18,643.19 and 7,542.26 is: 10,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.54 : 18,643.19 = 7,542.26 : x
  2. Step 2: Convert to fraction form
    13,508.54/18,643.19 = 7,542.26/x
  3. Step 3: Cross multiply
    13,508.54x = 18,643.19 × 7,542.26
  4. Step 4: Simplify right side
    13,508.54x = 140,611,786.21
  5. Step 5: Solve for x
    x = 140,611,786.21/13,508.54
  6. Step 6: Final answer
    x = 10,409.10

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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.