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Finding the Fourth Proportional to 22,227.76, 33,346.83 and 6,432.16

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Solution

The fourth proportional to 22,227.76, 33,346.83 and 6,432.16 is: 9,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,227.76 : 33,346.83 = 6,432.16 : x
  2. Step 2: Convert to fraction form
    22,227.76/33,346.83 = 6,432.16/x
  3. Step 3: Cross multiply
    22,227.76x = 33,346.83 × 6,432.16
  4. Step 4: Simplify right side
    22,227.76x = 214,492,146.05
  5. Step 5: Solve for x
    x = 214,492,146.05/22,227.76
  6. Step 6: Final answer
    x = 9,649.74

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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.