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Finding the Fourth Proportional to 14,229.84, 21,348.21 and 5,464.78

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Solution

The fourth proportional to 14,229.84, 21,348.21 and 5,464.78 is: 8,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.84 : 21,348.21 = 5,464.78 : x
  2. Step 2: Convert to fraction form
    14,229.84/21,348.21 = 5,464.78/x
  3. Step 3: Cross multiply
    14,229.84x = 21,348.21 × 5,464.78
  4. Step 4: Simplify right side
    14,229.84x = 116,663,327.51
  5. Step 5: Solve for x
    x = 116,663,327.51/14,229.84
  6. Step 6: Final answer
    x = 8,198.50

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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.