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Finding the Fourth Proportional to 24,027, 33,157.14 and 13,416

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Solution

The fourth proportional to 24,027, 33,157.14 and 13,416 is: 18,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027 : 33,157.14 = 13,416 : x
  2. Step 2: Convert to fraction form
    24,027/33,157.14 = 13,416/x
  3. Step 3: Cross multiply
    24,027x = 33,157.14 × 13,416
  4. Step 4: Simplify right side
    24,027x = 444,836,190.24
  5. Step 5: Solve for x
    x = 444,836,190.24/24,027
  6. Step 6: Final answer
    x = 18,514.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.