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Finding the Fourth Proportional to 22,199.12, 33,299.96 and 7,409.36

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Solution

The fourth proportional to 22,199.12, 33,299.96 and 7,409.36 is: 11,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.12 : 33,299.96 = 7,409.36 : x
  2. Step 2: Convert to fraction form
    22,199.12/33,299.96 = 7,409.36/x
  3. Step 3: Cross multiply
    22,199.12x = 33,299.96 × 7,409.36
  4. Step 4: Simplify right side
    22,199.12x = 246,731,391.63
  5. Step 5: Solve for x
    x = 246,731,391.63/22,199.12
  6. Step 6: Final answer
    x = 11,114.47

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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.