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Finding the Fourth Proportional to 22,846.98, 34,265.74 and 8,802.19

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Solution

The fourth proportional to 22,846.98, 34,265.74 and 8,802.19 is: 13,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.98 : 34,265.74 = 8,802.19 : x
  2. Step 2: Convert to fraction form
    22,846.98/34,265.74 = 8,802.19/x
  3. Step 3: Cross multiply
    22,846.98x = 34,265.74 × 8,802.19
  4. Step 4: Simplify right side
    22,846.98x = 301,613,553.97
  5. Step 5: Solve for x
    x = 301,613,553.97/22,846.98
  6. Step 6: Final answer
    x = 13,201.46

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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.