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Finding the Fourth Proportional to 20,843.78, 31,265.72 and 5,261.40

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Solution

The fourth proportional to 20,843.78, 31,265.72 and 5,261.40 is: 7,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.78 : 31,265.72 = 5,261.40 : x
  2. Step 2: Convert to fraction form
    20,843.78/31,265.72 = 5,261.40/x
  3. Step 3: Cross multiply
    20,843.78x = 31,265.72 × 5,261.40
  4. Step 4: Simplify right side
    20,843.78x = 164,501,459.21
  5. Step 5: Solve for x
    x = 164,501,459.21/20,843.78
  6. Step 6: Final answer
    x = 7,892.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.