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Finding the Fourth Proportional to 18,264.94, 27,401.10 and 7,734.94

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Solution

The fourth proportional to 18,264.94, 27,401.10 and 7,734.94 is: 11,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,264.94 : 27,401.10 = 7,734.94 : x
  2. Step 2: Convert to fraction form
    18,264.94/27,401.10 = 7,734.94/x
  3. Step 3: Cross multiply
    18,264.94x = 27,401.10 × 7,734.94
  4. Step 4: Simplify right side
    18,264.94x = 211,945,864.43
  5. Step 5: Solve for x
    x = 211,945,864.43/18,264.94
  6. Step 6: Final answer
    x = 11,603.97

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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.