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Finding the Fourth Proportional to 27,226.65, 40,841.52 and 9,696.48

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Solution

The fourth proportional to 27,226.65, 40,841.52 and 9,696.48 is: 14,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.65 : 40,841.52 = 9,696.48 : x
  2. Step 2: Convert to fraction form
    27,226.65/40,841.52 = 9,696.48/x
  3. Step 3: Cross multiply
    27,226.65x = 40,841.52 × 9,696.48
  4. Step 4: Simplify right side
    27,226.65x = 396,018,981.85
  5. Step 5: Solve for x
    x = 396,018,981.85/27,226.65
  6. Step 6: Final answer
    x = 14,545.27

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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.