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Finding the Fourth Proportional to 12,343.24, 18,514.88 and 4,135.24

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Solution

The fourth proportional to 12,343.24, 18,514.88 and 4,135.24 is: 6,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.24 : 18,514.88 = 4,135.24 : x
  2. Step 2: Convert to fraction form
    12,343.24/18,514.88 = 4,135.24/x
  3. Step 3: Cross multiply
    12,343.24x = 18,514.88 × 4,135.24
  4. Step 4: Simplify right side
    12,343.24x = 76,563,472.37
  5. Step 5: Solve for x
    x = 76,563,472.37/12,343.24
  6. Step 6: Final answer
    x = 6,202.87

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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.