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Finding the Fourth Proportional to 20,708.16, 31,068 and 11,480.64

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Solution

The fourth proportional to 20,708.16, 31,068 and 11,480.64 is: 17,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,708.16 : 31,068 = 11,480.64 : x
  2. Step 2: Convert to fraction form
    20,708.16/31,068 = 11,480.64/x
  3. Step 3: Cross multiply
    20,708.16x = 31,068 × 11,480.64
  4. Step 4: Simplify right side
    20,708.16x = 356,680,523.52
  5. Step 5: Solve for x
    x = 356,680,523.52/20,708.16
  6. Step 6: Final answer
    x = 17,224.15

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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.