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Finding the Fourth Proportional to 18,097.14, 27,141.42 and 10,203.15

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Solution

The fourth proportional to 18,097.14, 27,141.42 and 10,203.15 is: 15,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.14 : 27,141.42 = 10,203.15 : x
  2. Step 2: Convert to fraction form
    18,097.14/27,141.42 = 10,203.15/x
  3. Step 3: Cross multiply
    18,097.14x = 27,141.42 × 10,203.15
  4. Step 4: Simplify right side
    18,097.14x = 276,927,979.47
  5. Step 5: Solve for x
    x = 276,927,979.47/18,097.14
  6. Step 6: Final answer
    x = 15,302.31

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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.