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Finding the Fourth Proportional to 14,984.22, 20,678.21 and 8,269.85

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Solution

The fourth proportional to 14,984.22, 20,678.21 and 8,269.85 is: 11,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984.22 : 20,678.21 = 8,269.85 : x
  2. Step 2: Convert to fraction form
    14,984.22/20,678.21 = 8,269.85/x
  3. Step 3: Cross multiply
    14,984.22x = 20,678.21 × 8,269.85
  4. Step 4: Simplify right side
    14,984.22x = 171,005,721.78
  5. Step 5: Solve for x
    x = 171,005,721.78/14,984.22
  6. Step 6: Final answer
    x = 11,412.39

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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.