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Finding the Fourth Proportional to 13,961.79, 19,267.38 and 7,674.17

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Solution

The fourth proportional to 13,961.79, 19,267.38 and 7,674.17 is: 10,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.79 : 19,267.38 = 7,674.17 : x
  2. Step 2: Convert to fraction form
    13,961.79/19,267.38 = 7,674.17/x
  3. Step 3: Cross multiply
    13,961.79x = 19,267.38 × 7,674.17
  4. Step 4: Simplify right side
    13,961.79x = 147,861,053.24
  5. Step 5: Solve for x
    x = 147,861,053.24/13,961.79
  6. Step 6: Final answer
    x = 10,590.41

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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.