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Finding the Fourth Proportional to 20,965.36, 31,443.16 and 9,879.72

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Solution

The fourth proportional to 20,965.36, 31,443.16 and 9,879.72 is: 14,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.36 : 31,443.16 = 9,879.72 : x
  2. Step 2: Convert to fraction form
    20,965.36/31,443.16 = 9,879.72/x
  3. Step 3: Cross multiply
    20,965.36x = 31,443.16 × 9,879.72
  4. Step 4: Simplify right side
    20,965.36x = 310,649,616.72
  5. Step 5: Solve for x
    x = 310,649,616.72/20,965.36
  6. Step 6: Final answer
    x = 14,817.28

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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.