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Finding the Fourth Proportional to 15,771.69, 21,764.92 and 8,698.11

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Solution

The fourth proportional to 15,771.69, 21,764.92 and 8,698.11 is: 12,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.69 : 21,764.92 = 8,698.11 : x
  2. Step 2: Convert to fraction form
    15,771.69/21,764.92 = 8,698.11/x
  3. Step 3: Cross multiply
    15,771.69x = 21,764.92 × 8,698.11
  4. Step 4: Simplify right side
    15,771.69x = 189,313,624.81
  5. Step 5: Solve for x
    x = 189,313,624.81/15,771.69
  6. Step 6: Final answer
    x = 12,003.39

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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.