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Finding the Fourth Proportional to 22,900.69, 34,362.75 and 10,906.42

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Solution

The fourth proportional to 22,900.69, 34,362.75 and 10,906.42 is: 16,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.69 : 34,362.75 = 10,906.42 : x
  2. Step 2: Convert to fraction form
    22,900.69/34,362.75 = 10,906.42/x
  3. Step 3: Cross multiply
    22,900.69x = 34,362.75 × 10,906.42
  4. Step 4: Simplify right side
    22,900.69x = 374,774,583.86
  5. Step 5: Solve for x
    x = 374,774,583.86/22,900.69
  6. Step 6: Final answer
    x = 16,365.21

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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.