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Finding the Fourth Proportional to 21,231.94, 31,847.99 and 6,440.99

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Solution

The fourth proportional to 21,231.94, 31,847.99 and 6,440.99 is: 9,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.94 : 31,847.99 = 6,440.99 : x
  2. Step 2: Convert to fraction form
    21,231.94/31,847.99 = 6,440.99/x
  3. Step 3: Cross multiply
    21,231.94x = 31,847.99 × 6,440.99
  4. Step 4: Simplify right side
    21,231.94x = 205,132,393.67
  5. Step 5: Solve for x
    x = 205,132,393.67/21,231.94
  6. Step 6: Final answer
    x = 9,661.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.