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Finding the Fourth Proportional to 12,542.82, 17,294.88 and 7,999.44

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Solution

The fourth proportional to 12,542.82, 17,294.88 and 7,999.44 is: 11,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.82 : 17,294.88 = 7,999.44 : x
  2. Step 2: Convert to fraction form
    12,542.82/17,294.88 = 7,999.44/x
  3. Step 3: Cross multiply
    12,542.82x = 17,294.88 × 7,999.44
  4. Step 4: Simplify right side
    12,542.82x = 138,349,354.87
  5. Step 5: Solve for x
    x = 138,349,354.87/12,542.82
  6. Step 6: Final answer
    x = 11,030.16

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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.