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Finding the Fourth Proportional to 12,496.74, 17,225.47 and 8,462.28

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Solution

The fourth proportional to 12,496.74, 17,225.47 and 8,462.28 is: 11,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.74 : 17,225.47 = 8,462.28 : x
  2. Step 2: Convert to fraction form
    12,496.74/17,225.47 = 8,462.28/x
  3. Step 3: Cross multiply
    12,496.74x = 17,225.47 × 8,462.28
  4. Step 4: Simplify right side
    12,496.74x = 145,766,750.27
  5. Step 5: Solve for x
    x = 145,766,750.27/12,496.74
  6. Step 6: Final answer
    x = 11,664.38

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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.