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Finding the Fourth Proportional to 13,509.54, 18,644.57 and 7,543.26

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Solution

The fourth proportional to 13,509.54, 18,644.57 and 7,543.26 is: 10,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.54 : 18,644.57 = 7,543.26 : x
  2. Step 2: Convert to fraction form
    13,509.54/18,644.57 = 7,543.26/x
  3. Step 3: Cross multiply
    13,509.54x = 18,644.57 × 7,543.26
  4. Step 4: Simplify right side
    13,509.54x = 140,640,839.10
  5. Step 5: Solve for x
    x = 140,640,839.10/13,509.54
  6. Step 6: Final answer
    x = 10,410.48

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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.