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Finding the Fourth Proportional to 22,378.09, 33,563.48 and 7,586.68

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Solution

The fourth proportional to 22,378.09, 33,563.48 and 7,586.68 is: 11,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.09 : 33,563.48 = 7,586.68 : x
  2. Step 2: Convert to fraction form
    22,378.09/33,563.48 = 7,586.68/x
  3. Step 3: Cross multiply
    22,378.09x = 33,563.48 × 7,586.68
  4. Step 4: Simplify right side
    22,378.09x = 254,635,214.63
  5. Step 5: Solve for x
    x = 254,635,214.63/22,378.09
  6. Step 6: Final answer
    x = 11,378.78

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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.