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Finding the Fourth Proportional to 20,809.40, 31,201.34 and 9,718.47

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Solution

The fourth proportional to 20,809.40, 31,201.34 and 9,718.47 is: 14,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.40 : 31,201.34 = 9,718.47 : x
  2. Step 2: Convert to fraction form
    20,809.40/31,201.34 = 9,718.47/x
  3. Step 3: Cross multiply
    20,809.40x = 31,201.34 × 9,718.47
  4. Step 4: Simplify right side
    20,809.40x = 303,229,238.16
  5. Step 5: Solve for x
    x = 303,229,238.16/20,809.40
  6. Step 6: Final answer
    x = 14,571.75

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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.