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Finding the Fourth Proportional to 20,999.40, 31,469.52 and 11,643.72

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Solution

The fourth proportional to 20,999.40, 31,469.52 and 11,643.72 is: 17,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.40 : 31,469.52 = 11,643.72 : x
  2. Step 2: Convert to fraction form
    20,999.40/31,469.52 = 11,643.72/x
  3. Step 3: Cross multiply
    20,999.40x = 31,469.52 × 11,643.72
  4. Step 4: Simplify right side
    20,999.40x = 366,422,279.41
  5. Step 5: Solve for x
    x = 366,422,279.41/20,999.40
  6. Step 6: Final answer
    x = 17,449.18

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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.