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Finding the Fourth Proportional to 13,512.83, 18,645 and 7,543.55

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Solution

The fourth proportional to 13,512.83, 18,645 and 7,543.55 is: 10,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.83 : 18,645 = 7,543.55 : x
  2. Step 2: Convert to fraction form
    13,512.83/18,645 = 7,543.55/x
  3. Step 3: Cross multiply
    13,512.83x = 18,645 × 7,543.55
  4. Step 4: Simplify right side
    13,512.83x = 140,649,489.75
  5. Step 5: Solve for x
    x = 140,649,489.75/13,512.83
  6. Step 6: Final answer
    x = 10,408.59

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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.