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Finding the Fourth Proportional to 20,097.34, 27,735.75 and 11,145.70

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Solution

The fourth proportional to 20,097.34, 27,735.75 and 11,145.70 is: 15,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.34 : 27,735.75 = 11,145.70 : x
  2. Step 2: Convert to fraction form
    20,097.34/27,735.75 = 11,145.70/x
  3. Step 3: Cross multiply
    20,097.34x = 27,735.75 × 11,145.70
  4. Step 4: Simplify right side
    20,097.34x = 309,134,348.78
  5. Step 5: Solve for x
    x = 309,134,348.78/20,097.34
  6. Step 6: Final answer
    x = 15,381.85

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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.