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Finding the Fourth Proportional to 14,354.56, 21,524.82 and 5,919.49

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Solution

The fourth proportional to 14,354.56, 21,524.82 and 5,919.49 is: 8,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.56 : 21,524.82 = 5,919.49 : x
  2. Step 2: Convert to fraction form
    14,354.56/21,524.82 = 5,919.49/x
  3. Step 3: Cross multiply
    14,354.56x = 21,524.82 × 5,919.49
  4. Step 4: Simplify right side
    14,354.56x = 127,415,956.74
  5. Step 5: Solve for x
    x = 127,415,956.74/14,354.56
  6. Step 6: Final answer
    x = 8,876.34

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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.