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Finding the Fourth Proportional to 22,199.12, 33,296.36 and 8,349.20

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Solution

The fourth proportional to 22,199.12, 33,296.36 and 8,349.20 is: 12,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.12 : 33,296.36 = 8,349.20 : x
  2. Step 2: Convert to fraction form
    22,199.12/33,296.36 = 8,349.20/x
  3. Step 3: Cross multiply
    22,199.12x = 33,296.36 × 8,349.20
  4. Step 4: Simplify right side
    22,199.12x = 277,997,968.91
  5. Step 5: Solve for x
    x = 277,997,968.91/22,199.12
  6. Step 6: Final answer
    x = 12,522.93

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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.