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Finding the Fourth Proportional to 20,768.17, 31,160.04 and 12,454.16

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Solution

The fourth proportional to 20,768.17, 31,160.04 and 12,454.16 is: 18,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.17 : 31,160.04 = 12,454.16 : x
  2. Step 2: Convert to fraction form
    20,768.17/31,160.04 = 12,454.16/x
  3. Step 3: Cross multiply
    20,768.17x = 31,160.04 × 12,454.16
  4. Step 4: Simplify right side
    20,768.17x = 388,071,991.32
  5. Step 5: Solve for x
    x = 388,071,991.32/20,768.17
  6. Step 6: Final answer
    x = 18,685.90

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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.