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Finding the Fourth Proportional to 12,422.31, 18,633.47 and 3,188.31

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Solution

The fourth proportional to 12,422.31, 18,633.47 and 3,188.31 is: 4,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.31 : 18,633.47 = 3,188.31 : x
  2. Step 2: Convert to fraction form
    12,422.31/18,633.47 = 3,188.31/x
  3. Step 3: Cross multiply
    12,422.31x = 18,633.47 × 3,188.31
  4. Step 4: Simplify right side
    12,422.31x = 59,409,278.74
  5. Step 5: Solve for x
    x = 59,409,278.74/12,422.31
  6. Step 6: Final answer
    x = 4,782.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.