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Finding the Fourth Proportional to 27,946.80, 41,927.28 and 8,226

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Solution

The fourth proportional to 27,946.80, 41,927.28 and 8,226 is: 12,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.80 : 41,927.28 = 8,226 : x
  2. Step 2: Convert to fraction form
    27,946.80/41,927.28 = 8,226/x
  3. Step 3: Cross multiply
    27,946.80x = 41,927.28 × 8,226
  4. Step 4: Simplify right side
    27,946.80x = 344,893,805.28
  5. Step 5: Solve for x
    x = 344,893,805.28/27,946.80
  6. Step 6: Final answer
    x = 12,341.08

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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.