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Finding the Fourth Proportional to 22,285.16, 30,754.74 and 12,213.32

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Solution

The fourth proportional to 22,285.16, 30,754.74 and 12,213.32 is: 16,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285.16 : 30,754.74 = 12,213.32 : x
  2. Step 2: Convert to fraction form
    22,285.16/30,754.74 = 12,213.32/x
  3. Step 3: Cross multiply
    22,285.16x = 30,754.74 × 12,213.32
  4. Step 4: Simplify right side
    22,285.16x = 375,617,481.14
  5. Step 5: Solve for x
    x = 375,617,481.14/22,285.16
  6. Step 6: Final answer
    x = 16,855.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.