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Finding the Fourth Proportional to 14,556.38, 20,087.88 and 8,506.97

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Solution

The fourth proportional to 14,556.38, 20,087.88 and 8,506.97 is: 11,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.38 : 20,087.88 = 8,506.97 : x
  2. Step 2: Convert to fraction form
    14,556.38/20,087.88 = 8,506.97/x
  3. Step 3: Cross multiply
    14,556.38x = 20,087.88 × 8,506.97
  4. Step 4: Simplify right side
    14,556.38x = 170,887,042.74
  5. Step 5: Solve for x
    x = 170,887,042.74/14,556.38
  6. Step 6: Final answer
    x = 11,739.66

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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.