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Finding the Fourth Proportional to 13,868.11, 20,802.17 and 12,665.26

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Solution

The fourth proportional to 13,868.11, 20,802.17 and 12,665.26 is: 18,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.11 : 20,802.17 = 12,665.26 : x
  2. Step 2: Convert to fraction form
    13,868.11/20,802.17 = 12,665.26/x
  3. Step 3: Cross multiply
    13,868.11x = 20,802.17 × 12,665.26
  4. Step 4: Simplify right side
    13,868.11x = 263,464,878.04
  5. Step 5: Solve for x
    x = 263,464,878.04/13,868.11
  6. Step 6: Final answer
    x = 18,997.89

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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.