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Finding the Fourth Proportional to 20,798.98, 31,198.43 and 5,004

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Solution

The fourth proportional to 20,798.98, 31,198.43 and 5,004 is: 7,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.98 : 31,198.43 = 5,004 : x
  2. Step 2: Convert to fraction form
    20,798.98/31,198.43 = 5,004/x
  3. Step 3: Cross multiply
    20,798.98x = 31,198.43 × 5,004
  4. Step 4: Simplify right side
    20,798.98x = 156,116,943.72
  5. Step 5: Solve for x
    x = 156,116,943.72/20,798.98
  6. Step 6: Final answer
    x = 7,505.99

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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.