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Finding the Fourth Proportional to 20,795, 31,192.74 and 6,004.08

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Solution

The fourth proportional to 20,795, 31,192.74 and 6,004.08 is: 9,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,795 : 31,192.74 = 6,004.08 : x
  2. Step 2: Convert to fraction form
    20,795/31,192.74 = 6,004.08/x
  3. Step 3: Cross multiply
    20,795x = 31,192.74 × 6,004.08
  4. Step 4: Simplify right side
    20,795x = 187,283,706.38
  5. Step 5: Solve for x
    x = 187,283,706.38/20,795
  6. Step 6: Final answer
    x = 9,006.19

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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.