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Finding the Fourth Proportional to 13,364.88, 18,442.11 and 7,396.39

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Solution

The fourth proportional to 13,364.88, 18,442.11 and 7,396.39 is: 10,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.88 : 18,442.11 = 7,396.39 : x
  2. Step 2: Convert to fraction form
    13,364.88/18,442.11 = 7,396.39/x
  3. Step 3: Cross multiply
    13,364.88x = 18,442.11 × 7,396.39
  4. Step 4: Simplify right side
    13,364.88x = 136,405,037.98
  5. Step 5: Solve for x
    x = 136,405,037.98/13,364.88
  6. Step 6: Final answer
    x = 10,206.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.