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Finding the Fourth Proportional to 13,401.83, 20,099.50 and 8,643.49

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Solution

The fourth proportional to 13,401.83, 20,099.50 and 8,643.49 is: 12,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.83 : 20,099.50 = 8,643.49 : x
  2. Step 2: Convert to fraction form
    13,401.83/20,099.50 = 8,643.49/x
  3. Step 3: Cross multiply
    13,401.83x = 20,099.50 × 8,643.49
  4. Step 4: Simplify right side
    13,401.83x = 173,729,827.26
  5. Step 5: Solve for x
    x = 173,729,827.26/13,401.83
  6. Step 6: Final answer
    x = 12,963.14

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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.