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Finding the Fourth Proportional to 12,581.31, 17,362.25 and 6,992.31

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Solution

The fourth proportional to 12,581.31, 17,362.25 and 6,992.31 is: 9,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.31 : 17,362.25 = 6,992.31 : x
  2. Step 2: Convert to fraction form
    12,581.31/17,362.25 = 6,992.31/x
  3. Step 3: Cross multiply
    12,581.31x = 17,362.25 × 6,992.31
  4. Step 4: Simplify right side
    12,581.31x = 121,402,234.30
  5. Step 5: Solve for x
    x = 121,402,234.30/12,581.31
  6. Step 6: Final answer
    x = 9,649.41

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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.