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Finding the Fourth Proportional to 13,801.18, 20,683.14 and 9,896.98

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Solution

The fourth proportional to 13,801.18, 20,683.14 and 9,896.98 is: 14,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.18 : 20,683.14 = 9,896.98 : x
  2. Step 2: Convert to fraction form
    13,801.18/20,683.14 = 9,896.98/x
  3. Step 3: Cross multiply
    13,801.18x = 20,683.14 × 9,896.98
  4. Step 4: Simplify right side
    13,801.18x = 204,700,622.92
  5. Step 5: Solve for x
    x = 204,700,622.92/13,801.18
  6. Step 6: Final answer
    x = 14,832.11

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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.