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Finding the Fourth Proportional to 13,322, 19,983.96 and 5,114

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Solution

The fourth proportional to 13,322, 19,983.96 and 5,114 is: 7,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322 : 19,983.96 = 5,114 : x
  2. Step 2: Convert to fraction form
    13,322/19,983.96 = 5,114/x
  3. Step 3: Cross multiply
    13,322x = 19,983.96 × 5,114
  4. Step 4: Simplify right side
    13,322x = 102,197,971.44
  5. Step 5: Solve for x
    x = 102,197,971.44/13,322
  6. Step 6: Final answer
    x = 7,671.37

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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.