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Finding the Fourth Proportional to 27,946.52, 41,905.35 and 8,222.51

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Solution

The fourth proportional to 27,946.52, 41,905.35 and 8,222.51 is: 12,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.52 : 41,905.35 = 8,222.51 : x
  2. Step 2: Convert to fraction form
    27,946.52/41,905.35 = 8,222.51/x
  3. Step 3: Cross multiply
    27,946.52x = 41,905.35 × 8,222.51
  4. Step 4: Simplify right side
    27,946.52x = 344,567,264.19
  5. Step 5: Solve for x
    x = 344,567,264.19/27,946.52
  6. Step 6: Final answer
    x = 12,329.52

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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.