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Finding the Fourth Proportional to 20,893.77, 31,340.66 and 5,098.77

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Solution

The fourth proportional to 20,893.77, 31,340.66 and 5,098.77 is: 7,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.77 : 31,340.66 = 5,098.77 : x
  2. Step 2: Convert to fraction form
    20,893.77/31,340.66 = 5,098.77/x
  3. Step 3: Cross multiply
    20,893.77x = 31,340.66 × 5,098.77
  4. Step 4: Simplify right side
    20,893.77x = 159,798,791.49
  5. Step 5: Solve for x
    x = 159,798,791.49/20,893.77
  6. Step 6: Final answer
    x = 7,648.16

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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.