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Finding the Fourth Proportional to 22,581.96, 33,877.44 and 6,999

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Solution

The fourth proportional to 22,581.96, 33,877.44 and 6,999 is: 10,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.96 : 33,877.44 = 6,999 : x
  2. Step 2: Convert to fraction form
    22,581.96/33,877.44 = 6,999/x
  3. Step 3: Cross multiply
    22,581.96x = 33,877.44 × 6,999
  4. Step 4: Simplify right side
    22,581.96x = 237,108,202.56
  5. Step 5: Solve for x
    x = 237,108,202.56/22,581.96
  6. Step 6: Final answer
    x = 10,499.89

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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.