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Finding the Fourth Proportional to 20,728.32, 31,068.14 and 9,611.61

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Solution

The fourth proportional to 20,728.32, 31,068.14 and 9,611.61 is: 14,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.32 : 31,068.14 = 9,611.61 : x
  2. Step 2: Convert to fraction form
    20,728.32/31,068.14 = 9,611.61/x
  3. Step 3: Cross multiply
    20,728.32x = 31,068.14 × 9,611.61
  4. Step 4: Simplify right side
    20,728.32x = 298,614,797.05
  5. Step 5: Solve for x
    x = 298,614,797.05/20,728.32
  6. Step 6: Final answer
    x = 14,406.13

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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.