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Finding the Fourth Proportional to 28,224.35, 42,343.19 and 8,234.49

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Solution

The fourth proportional to 28,224.35, 42,343.19 and 8,234.49 is: 12,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.35 : 42,343.19 = 8,234.49 : x
  2. Step 2: Convert to fraction form
    28,224.35/42,343.19 = 8,234.49/x
  3. Step 3: Cross multiply
    28,224.35x = 42,343.19 × 8,234.49
  4. Step 4: Simplify right side
    28,224.35x = 348,674,574.62
  5. Step 5: Solve for x
    x = 348,674,574.62/28,224.35
  6. Step 6: Final answer
    x = 12,353.68

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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.