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Finding the Fourth Proportional to 12,401.45, 17,114 and 6,736.17

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Solution

The fourth proportional to 12,401.45, 17,114 and 6,736.17 is: 9,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.45 : 17,114 = 6,736.17 : x
  2. Step 2: Convert to fraction form
    12,401.45/17,114 = 6,736.17/x
  3. Step 3: Cross multiply
    12,401.45x = 17,114 × 6,736.17
  4. Step 4: Simplify right side
    12,401.45x = 115,282,813.38
  5. Step 5: Solve for x
    x = 115,282,813.38/12,401.45
  6. Step 6: Final answer
    x = 9,295.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.