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Finding the Fourth Proportional to 20,908.09, 31,359.79 and 6,117.12

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Solution

The fourth proportional to 20,908.09, 31,359.79 and 6,117.12 is: 9,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.09 : 31,359.79 = 6,117.12 : x
  2. Step 2: Convert to fraction form
    20,908.09/31,359.79 = 6,117.12/x
  3. Step 3: Cross multiply
    20,908.09x = 31,359.79 × 6,117.12
  4. Step 4: Simplify right side
    20,908.09x = 191,831,606.25
  5. Step 5: Solve for x
    x = 191,831,606.25/20,908.09
  6. Step 6: Final answer
    x = 9,174.99

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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.