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Finding the Fourth Proportional to 22,049.12, 33,071.74 and 8,009.27

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Solution

The fourth proportional to 22,049.12, 33,071.74 and 8,009.27 is: 12,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.12 : 33,071.74 = 8,009.27 : x
  2. Step 2: Convert to fraction form
    22,049.12/33,071.74 = 8,009.27/x
  3. Step 3: Cross multiply
    22,049.12x = 33,071.74 × 8,009.27
  4. Step 4: Simplify right side
    22,049.12x = 264,880,538.49
  5. Step 5: Solve for x
    x = 264,880,538.49/22,049.12
  6. Step 6: Final answer
    x = 12,013.20

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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.