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Finding the Fourth Proportional to 20,098.45, 27,735.87 and 11,146.06

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Solution

The fourth proportional to 20,098.45, 27,735.87 and 11,146.06 is: 15,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.45 : 27,735.87 = 11,146.06 : x
  2. Step 2: Convert to fraction form
    20,098.45/27,735.87 = 11,146.06/x
  3. Step 3: Cross multiply
    20,098.45x = 27,735.87 × 11,146.06
  4. Step 4: Simplify right side
    20,098.45x = 309,145,671.17
  5. Step 5: Solve for x
    x = 309,145,671.17/20,098.45
  6. Step 6: Final answer
    x = 15,381.57

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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.