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Finding the Fourth Proportional to 12,632.08, 17,431.32 and 7,042

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Solution

The fourth proportional to 12,632.08, 17,431.32 and 7,042 is: 9,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.08 : 17,431.32 = 7,042 : x
  2. Step 2: Convert to fraction form
    12,632.08/17,431.32 = 7,042/x
  3. Step 3: Cross multiply
    12,632.08x = 17,431.32 × 7,042
  4. Step 4: Simplify right side
    12,632.08x = 122,751,355.44
  5. Step 5: Solve for x
    x = 122,751,355.44/12,632.08
  6. Step 6: Final answer
    x = 9,717.43

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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.