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Finding the Fourth Proportional to 13,195.94, 19,694.81 and 11,409.10

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Solution

The fourth proportional to 13,195.94, 19,694.81 and 11,409.10 is: 17,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.94 : 19,694.81 = 11,409.10 : x
  2. Step 2: Convert to fraction form
    13,195.94/19,694.81 = 11,409.10/x
  3. Step 3: Cross multiply
    13,195.94x = 19,694.81 × 11,409.10
  4. Step 4: Simplify right side
    13,195.94x = 224,699,950.49
  5. Step 5: Solve for x
    x = 224,699,950.49/13,195.94
  6. Step 6: Final answer
    x = 17,027.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.