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Finding the Fourth Proportional to 20,804.72, 31,192.49 and 7,655.38

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Solution

The fourth proportional to 20,804.72, 31,192.49 and 7,655.38 is: 11,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.72 : 31,192.49 = 7,655.38 : x
  2. Step 2: Convert to fraction form
    20,804.72/31,192.49 = 7,655.38/x
  3. Step 3: Cross multiply
    20,804.72x = 31,192.49 × 7,655.38
  4. Step 4: Simplify right side
    20,804.72x = 238,790,305.25
  5. Step 5: Solve for x
    x = 238,790,305.25/20,804.72
  6. Step 6: Final answer
    x = 11,477.70

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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.