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Finding the Fourth Proportional to 19,796, 29,670.28 and 13,840.38

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Solution

The fourth proportional to 19,796, 29,670.28 and 13,840.38 is: 20,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796 : 29,670.28 = 13,840.38 : x
  2. Step 2: Convert to fraction form
    19,796/29,670.28 = 13,840.38/x
  3. Step 3: Cross multiply
    19,796x = 29,670.28 × 13,840.38
  4. Step 4: Simplify right side
    19,796x = 410,647,949.91
  5. Step 5: Solve for x
    x = 410,647,949.91/19,796
  6. Step 6: Final answer
    x = 20,743.99

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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.