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Finding the Fourth Proportional to 19,796.23, 29,698.67 and 6,648.26

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Solution

The fourth proportional to 19,796.23, 29,698.67 and 6,648.26 is: 9,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.23 : 29,698.67 = 6,648.26 : x
  2. Step 2: Convert to fraction form
    19,796.23/29,698.67 = 6,648.26/x
  3. Step 3: Cross multiply
    19,796.23x = 29,698.67 × 6,648.26
  4. Step 4: Simplify right side
    19,796.23x = 197,444,298.08
  5. Step 5: Solve for x
    x = 197,444,298.08/19,796.23
  6. Step 6: Final answer
    x = 9,973.83

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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.