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Finding the Fourth Proportional to 22,914.44, 31,620.36 and 12,841.16

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Solution

The fourth proportional to 22,914.44, 31,620.36 and 12,841.16 is: 17,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.44 : 31,620.36 = 12,841.16 : x
  2. Step 2: Convert to fraction form
    22,914.44/31,620.36 = 12,841.16/x
  3. Step 3: Cross multiply
    22,914.44x = 31,620.36 × 12,841.16
  4. Step 4: Simplify right side
    22,914.44x = 406,042,102.02
  5. Step 5: Solve for x
    x = 406,042,102.02/22,914.44
  6. Step 6: Final answer
    x = 17,719.92

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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.