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Finding the Fourth Proportional to 13,193.49, 19,790.07 and 5,299.50

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Solution

The fourth proportional to 13,193.49, 19,790.07 and 5,299.50 is: 7,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.49 : 19,790.07 = 5,299.50 : x
  2. Step 2: Convert to fraction form
    13,193.49/19,790.07 = 5,299.50/x
  3. Step 3: Cross multiply
    13,193.49x = 19,790.07 × 5,299.50
  4. Step 4: Simplify right side
    13,193.49x = 104,877,475.97
  5. Step 5: Solve for x
    x = 104,877,475.97/13,193.49
  6. Step 6: Final answer
    x = 7,949.18

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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.