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Finding the Fourth Proportional to 13,501.80, 20,241.09 and 5,716.08

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Solution

The fourth proportional to 13,501.80, 20,241.09 and 5,716.08 is: 8,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.80 : 20,241.09 = 5,716.08 : x
  2. Step 2: Convert to fraction form
    13,501.80/20,241.09 = 5,716.08/x
  3. Step 3: Cross multiply
    13,501.80x = 20,241.09 × 5,716.08
  4. Step 4: Simplify right side
    13,501.80x = 115,699,689.73
  5. Step 5: Solve for x
    x = 115,699,689.73/13,501.80
  6. Step 6: Final answer
    x = 8,569.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.