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Finding the Fourth Proportional to 19,872.22, 29,802.26 and 8,022.20

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Solution

The fourth proportional to 19,872.22, 29,802.26 and 8,022.20 is: 12,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.22 : 29,802.26 = 8,022.20 : x
  2. Step 2: Convert to fraction form
    19,872.22/29,802.26 = 8,022.20/x
  3. Step 3: Cross multiply
    19,872.22x = 29,802.26 × 8,022.20
  4. Step 4: Simplify right side
    19,872.22x = 239,079,690.17
  5. Step 5: Solve for x
    x = 239,079,690.17/19,872.22
  6. Step 6: Final answer
    x = 12,030.85

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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.