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Finding the Fourth Proportional to 22,605.12, 33,946.56 and 12,224.16

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Solution

The fourth proportional to 22,605.12, 33,946.56 and 12,224.16 is: 18,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.12 : 33,946.56 = 12,224.16 : x
  2. Step 2: Convert to fraction form
    22,605.12/33,946.56 = 12,224.16/x
  3. Step 3: Cross multiply
    22,605.12x = 33,946.56 × 12,224.16
  4. Step 4: Simplify right side
    22,605.12x = 414,968,180.89
  5. Step 5: Solve for x
    x = 414,968,180.89/22,605.12
  6. Step 6: Final answer
    x = 18,357.27

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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.