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Finding the Fourth Proportional to 24,212.06, 36,322.22 and 7,568.84

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Solution

The fourth proportional to 24,212.06, 36,322.22 and 7,568.84 is: 11,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212.06 : 36,322.22 = 7,568.84 : x
  2. Step 2: Convert to fraction form
    24,212.06/36,322.22 = 7,568.84/x
  3. Step 3: Cross multiply
    24,212.06x = 36,322.22 × 7,568.84
  4. Step 4: Simplify right side
    24,212.06x = 274,917,181.35
  5. Step 5: Solve for x
    x = 274,917,181.35/24,212.06
  6. Step 6: Final answer
    x = 11,354.55

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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.