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Finding the Fourth Proportional to 12,204.52, 16,842 and 8,012.50

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Solution

The fourth proportional to 12,204.52, 16,842 and 8,012.50 is: 11,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.52 : 16,842 = 8,012.50 : x
  2. Step 2: Convert to fraction form
    12,204.52/16,842 = 8,012.50/x
  3. Step 3: Cross multiply
    12,204.52x = 16,842 × 8,012.50
  4. Step 4: Simplify right side
    12,204.52x = 134,946,525
  5. Step 5: Solve for x
    x = 134,946,525/12,204.52
  6. Step 6: Final answer
    x = 11,057.09

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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.