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Finding the Fourth Proportional to 27,226.62, 40,838.25 and 7,506.78

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Solution

The fourth proportional to 27,226.62, 40,838.25 and 7,506.78 is: 11,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.62 : 40,838.25 = 7,506.78 : x
  2. Step 2: Convert to fraction form
    27,226.62/40,838.25 = 7,506.78/x
  3. Step 3: Cross multiply
    27,226.62x = 40,838.25 × 7,506.78
  4. Step 4: Simplify right side
    27,226.62x = 306,563,758.34
  5. Step 5: Solve for x
    x = 306,563,758.34/27,226.62
  6. Step 6: Final answer
    x = 11,259.71

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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.