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Finding the Fourth Proportional to 20,781.78, 28,678.10 and 11,350.14

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Solution

The fourth proportional to 20,781.78, 28,678.10 and 11,350.14 is: 15,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.78 : 28,678.10 = 11,350.14 : x
  2. Step 2: Convert to fraction form
    20,781.78/28,678.10 = 11,350.14/x
  3. Step 3: Cross multiply
    20,781.78x = 28,678.10 × 11,350.14
  4. Step 4: Simplify right side
    20,781.78x = 325,500,393.18
  5. Step 5: Solve for x
    x = 325,500,393.18/20,781.78
  6. Step 6: Final answer
    x = 15,662.78

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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.