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Finding the Fourth Proportional to 19,522.20, 29,265.96 and 7,827.48

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Solution

The fourth proportional to 19,522.20, 29,265.96 and 7,827.48 is: 11,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522.20 : 29,265.96 = 7,827.48 : x
  2. Step 2: Convert to fraction form
    19,522.20/29,265.96 = 7,827.48/x
  3. Step 3: Cross multiply
    19,522.20x = 29,265.96 × 7,827.48
  4. Step 4: Simplify right side
    19,522.20x = 229,078,716.58
  5. Step 5: Solve for x
    x = 229,078,716.58/19,522.20
  6. Step 6: Final answer
    x = 11,734.27

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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.