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Finding the Fourth Proportional to 14,169.92, 19,556.90 and 8,204.84

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Solution

The fourth proportional to 14,169.92, 19,556.90 and 8,204.84 is: 11,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169.92 : 19,556.90 = 8,204.84 : x
  2. Step 2: Convert to fraction form
    14,169.92/19,556.90 = 8,204.84/x
  3. Step 3: Cross multiply
    14,169.92x = 19,556.90 × 8,204.84
  4. Step 4: Simplify right side
    14,169.92x = 160,461,235.40
  5. Step 5: Solve for x
    x = 160,461,235.40/14,169.92
  6. Step 6: Final answer
    x = 11,324.07

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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.