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Finding the Fourth Proportional to 20,888.49, 31,331.27 and 9,797.61

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Solution

The fourth proportional to 20,888.49, 31,331.27 and 9,797.61 is: 14,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.49 : 31,331.27 = 9,797.61 : x
  2. Step 2: Convert to fraction form
    20,888.49/31,331.27 = 9,797.61/x
  3. Step 3: Cross multiply
    20,888.49x = 31,331.27 × 9,797.61
  4. Step 4: Simplify right side
    20,888.49x = 306,971,515.28
  5. Step 5: Solve for x
    x = 306,971,515.28/20,888.49
  6. Step 6: Final answer
    x = 14,695.73

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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.