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Finding the Fourth Proportional to 13,100.35, 19,650.72 and 7,293.87

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Solution

The fourth proportional to 13,100.35, 19,650.72 and 7,293.87 is: 10,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.35 : 19,650.72 = 7,293.87 : x
  2. Step 2: Convert to fraction form
    13,100.35/19,650.72 = 7,293.87/x
  3. Step 3: Cross multiply
    13,100.35x = 19,650.72 × 7,293.87
  4. Step 4: Simplify right side
    13,100.35x = 143,329,797.09
  5. Step 5: Solve for x
    x = 143,329,797.09/13,100.35
  6. Step 6: Final answer
    x = 10,940.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.