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Finding the Fourth Proportional to 27,534.62, 41,306.79 and 9,770.72

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Solution

The fourth proportional to 27,534.62, 41,306.79 and 9,770.72 is: 14,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.62 : 41,306.79 = 9,770.72 : x
  2. Step 2: Convert to fraction form
    27,534.62/41,306.79 = 9,770.72/x
  3. Step 3: Cross multiply
    27,534.62x = 41,306.79 × 9,770.72
  4. Step 4: Simplify right side
    27,534.62x = 403,596,872.65
  5. Step 5: Solve for x
    x = 403,596,872.65/27,534.62
  6. Step 6: Final answer
    x = 14,657.80

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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.