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Finding the Fourth Proportional to 15,203.54, 22,786.68 and 8,635.25

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Solution

The fourth proportional to 15,203.54, 22,786.68 and 8,635.25 is: 12,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.54 : 22,786.68 = 8,635.25 : x
  2. Step 2: Convert to fraction form
    15,203.54/22,786.68 = 8,635.25/x
  3. Step 3: Cross multiply
    15,203.54x = 22,786.68 × 8,635.25
  4. Step 4: Simplify right side
    15,203.54x = 196,768,678.47
  5. Step 5: Solve for x
    x = 196,768,678.47/15,203.54
  6. Step 6: Final answer
    x = 12,942.29

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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.