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Finding the Fourth Proportional to 18,668.72, 25,764 and 10,285.22

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Solution

The fourth proportional to 18,668.72, 25,764 and 10,285.22 is: 14,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.72 : 25,764 = 10,285.22 : x
  2. Step 2: Convert to fraction form
    18,668.72/25,764 = 10,285.22/x
  3. Step 3: Cross multiply
    18,668.72x = 25,764 × 10,285.22
  4. Step 4: Simplify right side
    18,668.72x = 264,988,408.08
  5. Step 5: Solve for x
    x = 264,988,408.08/18,668.72
  6. Step 6: Final answer
    x = 14,194.25

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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.