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Finding the Fourth Proportional to 12,251.12, 18,373.44 and 5,324

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Solution

The fourth proportional to 12,251.12, 18,373.44 and 5,324 is: 7,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.12 : 18,373.44 = 5,324 : x
  2. Step 2: Convert to fraction form
    12,251.12/18,373.44 = 5,324/x
  3. Step 3: Cross multiply
    12,251.12x = 18,373.44 × 5,324
  4. Step 4: Simplify right side
    12,251.12x = 97,820,194.56
  5. Step 5: Solve for x
    x = 97,820,194.56/12,251.12
  6. Step 6: Final answer
    x = 7,984.59

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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.