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Finding the Fourth Proportional to 20,172.02, 27,843.45 and 13,099.46

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Solution

The fourth proportional to 20,172.02, 27,843.45 and 13,099.46 is: 18,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.02 : 27,843.45 = 13,099.46 : x
  2. Step 2: Convert to fraction form
    20,172.02/27,843.45 = 13,099.46/x
  3. Step 3: Cross multiply
    20,172.02x = 27,843.45 × 13,099.46
  4. Step 4: Simplify right side
    20,172.02x = 364,734,159.54
  5. Step 5: Solve for x
    x = 364,734,159.54/20,172.02
  6. Step 6: Final answer
    x = 18,081.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.