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Finding the Fourth Proportional to 22,838.92, 34,262.31 and 7,845.33

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Solution

The fourth proportional to 22,838.92, 34,262.31 and 7,845.33 is: 11,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.92 : 34,262.31 = 7,845.33 : x
  2. Step 2: Convert to fraction form
    22,838.92/34,262.31 = 7,845.33/x
  3. Step 3: Cross multiply
    22,838.92x = 34,262.31 × 7,845.33
  4. Step 4: Simplify right side
    22,838.92x = 268,799,128.51
  5. Step 5: Solve for x
    x = 268,799,128.51/22,838.92
  6. Step 6: Final answer
    x = 11,769.34

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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.