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Finding the Fourth Proportional to 34,843.48, 52,265.22 and 11,476.60

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Solution

The fourth proportional to 34,843.48, 52,265.22 and 11,476.60 is: 17,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,843.48 : 52,265.22 = 11,476.60 : x
  2. Step 2: Convert to fraction form
    34,843.48/52,265.22 = 11,476.60/x
  3. Step 3: Cross multiply
    34,843.48x = 52,265.22 × 11,476.60
  4. Step 4: Simplify right side
    34,843.48x = 599,827,023.85
  5. Step 5: Solve for x
    x = 599,827,023.85/34,843.48
  6. Step 6: Final answer
    x = 17,214.90

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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.