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Finding the Fourth Proportional to 13,163.96, 19,746.03 and 5,267.14

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Solution

The fourth proportional to 13,163.96, 19,746.03 and 5,267.14 is: 7,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.96 : 19,746.03 = 5,267.14 : x
  2. Step 2: Convert to fraction form
    13,163.96/19,746.03 = 5,267.14/x
  3. Step 3: Cross multiply
    13,163.96x = 19,746.03 × 5,267.14
  4. Step 4: Simplify right side
    13,163.96x = 104,005,104.45
  5. Step 5: Solve for x
    x = 104,005,104.45/13,163.96
  6. Step 6: Final answer
    x = 7,900.75

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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.