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Finding the Fourth Proportional to 13,220.82, 19,828.16 and 3,858.86

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Solution

The fourth proportional to 13,220.82, 19,828.16 and 3,858.86 is: 5,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.82 : 19,828.16 = 3,858.86 : x
  2. Step 2: Convert to fraction form
    13,220.82/19,828.16 = 3,858.86/x
  3. Step 3: Cross multiply
    13,220.82x = 19,828.16 × 3,858.86
  4. Step 4: Simplify right side
    13,220.82x = 76,514,093.50
  5. Step 5: Solve for x
    x = 76,514,093.50/13,220.82
  6. Step 6: Final answer
    x = 5,787.39

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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.