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Finding the Fourth Proportional to 21,230.36, 31,847.16 and 6,440.48

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Solution

The fourth proportional to 21,230.36, 31,847.16 and 6,440.48 is: 9,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.36 : 31,847.16 = 6,440.48 : x
  2. Step 2: Convert to fraction form
    21,230.36/31,847.16 = 6,440.48/x
  3. Step 3: Cross multiply
    21,230.36x = 31,847.16 × 6,440.48
  4. Step 4: Simplify right side
    21,230.36x = 205,110,997.04
  5. Step 5: Solve for x
    x = 205,110,997.04/21,230.36
  6. Step 6: Final answer
    x = 9,661.21

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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.