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Finding the Fourth Proportional to 22,802.09, 34,204.38 and 9,476.42

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Solution

The fourth proportional to 22,802.09, 34,204.38 and 9,476.42 is: 14,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.09 : 34,204.38 = 9,476.42 : x
  2. Step 2: Convert to fraction form
    22,802.09/34,204.38 = 9,476.42/x
  3. Step 3: Cross multiply
    22,802.09x = 34,204.38 × 9,476.42
  4. Step 4: Simplify right side
    22,802.09x = 324,135,194.73
  5. Step 5: Solve for x
    x = 324,135,194.73/22,802.09
  6. Step 6: Final answer
    x = 14,215.15

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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.