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Finding the Fourth Proportional to 12,474, 18,714.08 and 3,708.88

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Solution

The fourth proportional to 12,474, 18,714.08 and 3,708.88 is: 5,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474 : 18,714.08 = 3,708.88 : x
  2. Step 2: Convert to fraction form
    12,474/18,714.08 = 3,708.88/x
  3. Step 3: Cross multiply
    12,474x = 18,714.08 × 3,708.88
  4. Step 4: Simplify right side
    12,474x = 69,408,239.52
  5. Step 5: Solve for x
    x = 69,408,239.52/12,474
  6. Step 6: Final answer
    x = 5,564.23

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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.