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Finding the Fourth Proportional to 13,073.44, 19,591.44 and 10,138

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Solution

The fourth proportional to 13,073.44, 19,591.44 and 10,138 is: 15,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.44 : 19,591.44 = 10,138 : x
  2. Step 2: Convert to fraction form
    13,073.44/19,591.44 = 10,138/x
  3. Step 3: Cross multiply
    13,073.44x = 19,591.44 × 10,138
  4. Step 4: Simplify right side
    13,073.44x = 198,618,018.72
  5. Step 5: Solve for x
    x = 198,618,018.72/13,073.44
  6. Step 6: Final answer
    x = 15,192.48

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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.