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Finding the Fourth Proportional to 20,908.08, 31,353 and 6,116.66

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Solution

The fourth proportional to 20,908.08, 31,353 and 6,116.66 is: 9,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.08 : 31,353 = 6,116.66 : x
  2. Step 2: Convert to fraction form
    20,908.08/31,353 = 6,116.66/x
  3. Step 3: Cross multiply
    20,908.08x = 31,353 × 6,116.66
  4. Step 4: Simplify right side
    20,908.08x = 191,775,640.98
  5. Step 5: Solve for x
    x = 191,775,640.98/20,908.08
  6. Step 6: Final answer
    x = 9,172.32

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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.