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Finding the Fourth Proportional to 12,093.42, 18,138.28 and 4,088.08

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Solution

The fourth proportional to 12,093.42, 18,138.28 and 4,088.08 is: 6,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.42 : 18,138.28 = 4,088.08 : x
  2. Step 2: Convert to fraction form
    12,093.42/18,138.28 = 4,088.08/x
  3. Step 3: Cross multiply
    12,093.42x = 18,138.28 × 4,088.08
  4. Step 4: Simplify right side
    12,093.42x = 74,150,739.70
  5. Step 5: Solve for x
    x = 74,150,739.70/12,093.42
  6. Step 6: Final answer
    x = 6,131.49

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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.