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Finding the Fourth Proportional to 12,474.35, 17,214.17 and 7,435.97

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Solution

The fourth proportional to 12,474.35, 17,214.17 and 7,435.97 is: 10,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.35 : 17,214.17 = 7,435.97 : x
  2. Step 2: Convert to fraction form
    12,474.35/17,214.17 = 7,435.97/x
  3. Step 3: Cross multiply
    12,474.35x = 17,214.17 × 7,435.97
  4. Step 4: Simplify right side
    12,474.35x = 128,004,014.52
  5. Step 5: Solve for x
    x = 128,004,014.52/12,474.35
  6. Step 6: Final answer
    x = 10,261.38

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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.