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Finding the Fourth Proportional to 12,524.76, 17,297.28 and 8,556.12

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Solution

The fourth proportional to 12,524.76, 17,297.28 and 8,556.12 is: 11,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.76 : 17,297.28 = 8,556.12 : x
  2. Step 2: Convert to fraction form
    12,524.76/17,297.28 = 8,556.12/x
  3. Step 3: Cross multiply
    12,524.76x = 17,297.28 × 8,556.12
  4. Step 4: Simplify right side
    12,524.76x = 147,997,603.35
  5. Step 5: Solve for x
    x = 147,997,603.35/12,524.76
  6. Step 6: Final answer
    x = 11,816.40

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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.