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Finding the Fourth Proportional to 13,699.80, 20,517.30 and 9,293.40

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Solution

The fourth proportional to 13,699.80, 20,517.30 and 9,293.40 is: 13,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.80 : 20,517.30 = 9,293.40 : x
  2. Step 2: Convert to fraction form
    13,699.80/20,517.30 = 9,293.40/x
  3. Step 3: Cross multiply
    13,699.80x = 20,517.30 × 9,293.40
  4. Step 4: Simplify right side
    13,699.80x = 190,675,475.82
  5. Step 5: Solve for x
    x = 190,675,475.82/13,699.80
  6. Step 6: Final answer
    x = 13,918.12

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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.