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Finding the Fourth Proportional to 19,536.95, 29,306.68 and 7,850.16

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Solution

The fourth proportional to 19,536.95, 29,306.68 and 7,850.16 is: 11,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.95 : 29,306.68 = 7,850.16 : x
  2. Step 2: Convert to fraction form
    19,536.95/29,306.68 = 7,850.16/x
  3. Step 3: Cross multiply
    19,536.95x = 29,306.68 × 7,850.16
  4. Step 4: Simplify right side
    19,536.95x = 230,062,107.44
  5. Step 5: Solve for x
    x = 230,062,107.44/19,536.95
  6. Step 6: Final answer
    x = 11,775.74

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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.