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Finding the Fourth Proportional to 22,777.16, 34,165.74 and 7,196.12

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Solution

The fourth proportional to 22,777.16, 34,165.74 and 7,196.12 is: 10,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.16 : 34,165.74 = 7,196.12 : x
  2. Step 2: Convert to fraction form
    22,777.16/34,165.74 = 7,196.12/x
  3. Step 3: Cross multiply
    22,777.16x = 34,165.74 × 7,196.12
  4. Step 4: Simplify right side
    22,777.16x = 245,860,764.93
  5. Step 5: Solve for x
    x = 245,860,764.93/22,777.16
  6. Step 6: Final answer
    x = 10,794.18

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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.