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Finding the Fourth Proportional to 13,511.72, 18,645.86 and 7,543.95

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Solution

The fourth proportional to 13,511.72, 18,645.86 and 7,543.95 is: 10,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.72 : 18,645.86 = 7,543.95 : x
  2. Step 2: Convert to fraction form
    13,511.72/18,645.86 = 7,543.95/x
  3. Step 3: Cross multiply
    13,511.72x = 18,645.86 × 7,543.95
  4. Step 4: Simplify right side
    13,511.72x = 140,663,397.83
  5. Step 5: Solve for x
    x = 140,663,397.83/13,511.72
  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.