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Finding the Fourth Proportional to 25,668.54, 38,504.17 and 7,201.98

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Solution

The fourth proportional to 25,668.54, 38,504.17 and 7,201.98 is: 10,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668.54 : 38,504.17 = 7,201.98 : x
  2. Step 2: Convert to fraction form
    25,668.54/38,504.17 = 7,201.98/x
  3. Step 3: Cross multiply
    25,668.54x = 38,504.17 × 7,201.98
  4. Step 4: Simplify right side
    25,668.54x = 277,306,262.26
  5. Step 5: Solve for x
    x = 277,306,262.26/25,668.54
  6. Step 6: Final answer
    x = 10,803.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.