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Finding the Fourth Proportional to 22,292.49, 33,439.47 and 8,256.06

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Solution

The fourth proportional to 22,292.49, 33,439.47 and 8,256.06 is: 12,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.49 : 33,439.47 = 8,256.06 : x
  2. Step 2: Convert to fraction form
    22,292.49/33,439.47 = 8,256.06/x
  3. Step 3: Cross multiply
    22,292.49x = 33,439.47 × 8,256.06
  4. Step 4: Simplify right side
    22,292.49x = 276,078,239.73
  5. Step 5: Solve for x
    x = 276,078,239.73/22,292.49
  6. Step 6: Final answer
    x = 12,384.36

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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.