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Finding the Fourth Proportional to 18,138.24, 27,145.26 and 12,597.84

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Solution

The fourth proportional to 18,138.24, 27,145.26 and 12,597.84 is: 18,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.24 : 27,145.26 = 12,597.84 : x
  2. Step 2: Convert to fraction form
    18,138.24/27,145.26 = 12,597.84/x
  3. Step 3: Cross multiply
    18,138.24x = 27,145.26 × 12,597.84
  4. Step 4: Simplify right side
    18,138.24x = 341,971,642.24
  5. Step 5: Solve for x
    x = 341,971,642.24/18,138.24
  6. Step 6: Final answer
    x = 18,853.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.