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Finding the Fourth Proportional to 24,603.97, 36,911.81 and 7,964.00

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Solution

The fourth proportional to 24,603.97, 36,911.81 and 7,964.00 is: 11,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.97 : 36,911.81 = 7,964.00 : x
  2. Step 2: Convert to fraction form
    24,603.97/36,911.81 = 7,964.00/x
  3. Step 3: Cross multiply
    24,603.97x = 36,911.81 × 7,964.00
  4. Step 4: Simplify right side
    24,603.97x = 293,965,737.16
  5. Step 5: Solve for x
    x = 293,965,737.16/24,603.97
  6. Step 6: Final answer
    x = 11,947.90

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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.