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Finding the Fourth Proportional to 22,094.89, 33,142.53 and 6,299.89

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Solution

The fourth proportional to 22,094.89, 33,142.53 and 6,299.89 is: 9,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,094.89 : 33,142.53 = 6,299.89 : x
  2. Step 2: Convert to fraction form
    22,094.89/33,142.53 = 6,299.89/x
  3. Step 3: Cross multiply
    22,094.89x = 33,142.53 × 6,299.89
  4. Step 4: Simplify right side
    22,094.89x = 208,794,293.32
  5. Step 5: Solve for x
    x = 208,794,293.32/22,094.89
  6. Step 6: Final answer
    x = 9,449.89

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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.