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Finding the Fourth Proportional to 12,468.70, 17,204.46 and 7,433.39

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Solution

The fourth proportional to 12,468.70, 17,204.46 and 7,433.39 is: 10,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.70 : 17,204.46 = 7,433.39 : x
  2. Step 2: Convert to fraction form
    12,468.70/17,204.46 = 7,433.39/x
  3. Step 3: Cross multiply
    12,468.70x = 17,204.46 × 7,433.39
  4. Step 4: Simplify right side
    12,468.70x = 127,887,460.92
  5. Step 5: Solve for x
    x = 127,887,460.92/12,468.70
  6. Step 6: Final answer
    x = 10,256.68

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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.