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Finding the Fourth Proportional to 13,643.81, 20,436.09 and 8,363.12

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Solution

The fourth proportional to 13,643.81, 20,436.09 and 8,363.12 is: 12,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.81 : 20,436.09 = 8,363.12 : x
  2. Step 2: Convert to fraction form
    13,643.81/20,436.09 = 8,363.12/x
  3. Step 3: Cross multiply
    13,643.81x = 20,436.09 × 8,363.12
  4. Step 4: Simplify right side
    13,643.81x = 170,909,370.82
  5. Step 5: Solve for x
    x = 170,909,370.82/13,643.81
  6. Step 6: Final answer
    x = 12,526.52

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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.