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Finding the Fourth Proportional to 21,279.50, 31,918.04 and 9,429.86

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Solution

The fourth proportional to 21,279.50, 31,918.04 and 9,429.86 is: 14,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,279.50 : 31,918.04 = 9,429.86 : x
  2. Step 2: Convert to fraction form
    21,279.50/31,918.04 = 9,429.86/x
  3. Step 3: Cross multiply
    21,279.50x = 31,918.04 × 9,429.86
  4. Step 4: Simplify right side
    21,279.50x = 300,982,512.66
  5. Step 5: Solve for x
    x = 300,982,512.66/21,279.50
  6. Step 6: Final answer
    x = 14,144.25

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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.