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Finding the Fourth Proportional to 19,722.74, 29,509.99 and 11,796.08

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Solution

The fourth proportional to 19,722.74, 29,509.99 and 11,796.08 is: 17,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.74 : 29,509.99 = 11,796.08 : x
  2. Step 2: Convert to fraction form
    19,722.74/29,509.99 = 11,796.08/x
  3. Step 3: Cross multiply
    19,722.74x = 29,509.99 × 11,796.08
  4. Step 4: Simplify right side
    19,722.74x = 348,102,025.80
  5. Step 5: Solve for x
    x = 348,102,025.80/19,722.74
  6. Step 6: Final answer
    x = 17,649.78

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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.