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Finding the Fourth Proportional to 24,605.97, 36,914.81 and 7,966

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Solution

The fourth proportional to 24,605.97, 36,914.81 and 7,966 is: 11,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.97 : 36,914.81 = 7,966 : x
  2. Step 2: Convert to fraction form
    24,605.97/36,914.81 = 7,966/x
  3. Step 3: Cross multiply
    24,605.97x = 36,914.81 × 7,966
  4. Step 4: Simplify right side
    24,605.97x = 294,063,376.46
  5. Step 5: Solve for x
    x = 294,063,376.46/24,605.97
  6. Step 6: Final answer
    x = 11,950.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.