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Finding the Fourth Proportional to 27,486.74, 41,234.16 and 9,952.47

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Solution

The fourth proportional to 27,486.74, 41,234.16 and 9,952.47 is: 14,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,486.74 : 41,234.16 = 9,952.47 : x
  2. Step 2: Convert to fraction form
    27,486.74/41,234.16 = 9,952.47/x
  3. Step 3: Cross multiply
    27,486.74x = 41,234.16 × 9,952.47
  4. Step 4: Simplify right side
    27,486.74x = 410,381,777.70
  5. Step 5: Solve for x
    x = 410,381,777.70/27,486.74
  6. Step 6: Final answer
    x = 14,930.17

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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.