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Finding the Fourth Proportional to 12,632.22, 17,431.83 and 7,042.14

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Solution

The fourth proportional to 12,632.22, 17,431.83 and 7,042.14 is: 9,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.22 : 17,431.83 = 7,042.14 : x
  2. Step 2: Convert to fraction form
    12,632.22/17,431.83 = 7,042.14/x
  3. Step 3: Cross multiply
    12,632.22x = 17,431.83 × 7,042.14
  4. Step 4: Simplify right side
    12,632.22x = 122,757,387.32
  5. Step 5: Solve for x
    x = 122,757,387.32/12,632.22
  6. Step 6: Final answer
    x = 9,717.80

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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.