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Finding the Fourth Proportional to 20,422.94, 30,638.51 and 9,326.66

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Solution

The fourth proportional to 20,422.94, 30,638.51 and 9,326.66 is: 13,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.94 : 30,638.51 = 9,326.66 : x
  2. Step 2: Convert to fraction form
    20,422.94/30,638.51 = 9,326.66/x
  3. Step 3: Cross multiply
    20,422.94x = 30,638.51 × 9,326.66
  4. Step 4: Simplify right side
    20,422.94x = 285,754,835.80
  5. Step 5: Solve for x
    x = 285,754,835.80/20,422.94
  6. Step 6: Final answer
    x = 13,991.85

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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.