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Finding the Fourth Proportional to 20,102.94, 27,740.84 and 11,149.92

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Solution

The fourth proportional to 20,102.94, 27,740.84 and 11,149.92 is: 15,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.94 : 27,740.84 = 11,149.92 : x
  2. Step 2: Convert to fraction form
    20,102.94/27,740.84 = 11,149.92/x
  3. Step 3: Cross multiply
    20,102.94x = 27,740.84 × 11,149.92
  4. Step 4: Simplify right side
    20,102.94x = 309,308,090.98
  5. Step 5: Solve for x
    x = 309,308,090.98/20,102.94
  6. Step 6: Final answer
    x = 15,386.21

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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.