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Finding the Fourth Proportional to 27,097.70, 37,396.65 and 15,162.14

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Solution

The fourth proportional to 27,097.70, 37,396.65 and 15,162.14 is: 20,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.70 : 37,396.65 = 15,162.14 : x
  2. Step 2: Convert to fraction form
    27,097.70/37,396.65 = 15,162.14/x
  3. Step 3: Cross multiply
    27,097.70x = 37,396.65 × 15,162.14
  4. Step 4: Simplify right side
    27,097.70x = 567,013,393.18
  5. Step 5: Solve for x
    x = 567,013,393.18/27,097.70
  6. Step 6: Final answer
    x = 20,924.78

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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.