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Finding the Fourth Proportional to 12,621.54, 17,412.48 and 8,144.76

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Solution

The fourth proportional to 12,621.54, 17,412.48 and 8,144.76 is: 11,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,621.54 : 17,412.48 = 8,144.76 : x
  2. Step 2: Convert to fraction form
    12,621.54/17,412.48 = 8,144.76/x
  3. Step 3: Cross multiply
    12,621.54x = 17,412.48 × 8,144.76
  4. Step 4: Simplify right side
    12,621.54x = 141,820,470.60
  5. Step 5: Solve for x
    x = 141,820,470.60/12,621.54
  6. Step 6: Final answer
    x = 11,236.38

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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.