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Finding the Fourth Proportional to 27,663.94, 41,496.17 and 7,942.50

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Solution

The fourth proportional to 27,663.94, 41,496.17 and 7,942.50 is: 11,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.94 : 41,496.17 = 7,942.50 : x
  2. Step 2: Convert to fraction form
    27,663.94/41,496.17 = 7,942.50/x
  3. Step 3: Cross multiply
    27,663.94x = 41,496.17 × 7,942.50
  4. Step 4: Simplify right side
    27,663.94x = 329,583,330.23
  5. Step 5: Solve for x
    x = 329,583,330.23/27,663.94
  6. Step 6: Final answer
    x = 11,913.82

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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.