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Finding the Fourth Proportional to 20,102, 27,740.76 and 11,150.88

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Solution

The fourth proportional to 20,102, 27,740.76 and 11,150.88 is: 15,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 27,740.76 = 11,150.88 : x
  2. Step 2: Convert to fraction form
    20,102/27,740.76 = 11,150.88/x
  3. Step 3: Cross multiply
    20,102x = 27,740.76 × 11,150.88
  4. Step 4: Simplify right side
    20,102x = 309,333,885.87
  5. Step 5: Solve for x
    x = 309,333,885.87/20,102
  6. Step 6: Final answer
    x = 15,388.21

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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.