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Finding the Fourth Proportional to 13,813.12, 20,740.44 and 8,291.17

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Solution

The fourth proportional to 13,813.12, 20,740.44 and 8,291.17 is: 12,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.12 : 20,740.44 = 8,291.17 : x
  2. Step 2: Convert to fraction form
    13,813.12/20,740.44 = 8,291.17/x
  3. Step 3: Cross multiply
    13,813.12x = 20,740.44 × 8,291.17
  4. Step 4: Simplify right side
    13,813.12x = 171,962,570.93
  5. Step 5: Solve for x
    x = 171,962,570.93/13,813.12
  6. Step 6: Final answer
    x = 12,449.22

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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.