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Finding the Fourth Proportional to 13,511.76, 18,646.25 and 7,543.43

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Solution

The fourth proportional to 13,511.76, 18,646.25 and 7,543.43 is: 10,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.76 : 18,646.25 = 7,543.43 : x
  2. Step 2: Convert to fraction form
    13,511.76/18,646.25 = 7,543.43/x
  3. Step 3: Cross multiply
    13,511.76x = 18,646.25 × 7,543.43
  4. Step 4: Simplify right side
    13,511.76x = 140,656,550.69
  5. Step 5: Solve for x
    x = 140,656,550.69/13,511.76
  6. Step 6: Final answer
    x = 10,409.94

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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.