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Finding the Fourth Proportional to 13,513.25, 18,646.07 and 7,543.96

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Solution

The fourth proportional to 13,513.25, 18,646.07 and 7,543.96 is: 10,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.25 : 18,646.07 = 7,543.96 : x
  2. Step 2: Convert to fraction form
    13,513.25/18,646.07 = 7,543.96/x
  3. Step 3: Cross multiply
    13,513.25x = 18,646.07 × 7,543.96
  4. Step 4: Simplify right side
    13,513.25x = 140,665,121.90
  5. Step 5: Solve for x
    x = 140,665,121.90/13,513.25
  6. Step 6: Final answer
    x = 10,409.42

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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.