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Finding the Fourth Proportional to 18,097.71, 27,106.46 and 13,906.87

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Solution

The fourth proportional to 18,097.71, 27,106.46 and 13,906.87 is: 20,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.71 : 27,106.46 = 13,906.87 : x
  2. Step 2: Convert to fraction form
    18,097.71/27,106.46 = 13,906.87/x
  3. Step 3: Cross multiply
    18,097.71x = 27,106.46 × 13,906.87
  4. Step 4: Simplify right side
    18,097.71x = 376,966,015.38
  5. Step 5: Solve for x
    x = 376,966,015.38/18,097.71
  6. Step 6: Final answer
    x = 20,829.49

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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.