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Finding the Fourth Proportional to 36,993.64, 55,498.14 and 12,369

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Solution

The fourth proportional to 36,993.64, 55,498.14 and 12,369 is: 18,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,993.64 : 55,498.14 = 12,369 : x
  2. Step 2: Convert to fraction form
    36,993.64/55,498.14 = 12,369/x
  3. Step 3: Cross multiply
    36,993.64x = 55,498.14 × 12,369
  4. Step 4: Simplify right side
    36,993.64x = 686,456,493.66
  5. Step 5: Solve for x
    x = 686,456,493.66/36,993.64
  6. Step 6: Final answer
    x = 18,556.07

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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.