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Finding the Fourth Proportional to 22,906.49, 34,365.12 and 7,110.71

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Solution

The fourth proportional to 22,906.49, 34,365.12 and 7,110.71 is: 10,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.49 : 34,365.12 = 7,110.71 : x
  2. Step 2: Convert to fraction form
    22,906.49/34,365.12 = 7,110.71/x
  3. Step 3: Cross multiply
    22,906.49x = 34,365.12 × 7,110.71
  4. Step 4: Simplify right side
    22,906.49x = 244,360,434.47
  5. Step 5: Solve for x
    x = 244,360,434.47/22,906.49
  6. Step 6: Final answer
    x = 10,667.74

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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.