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Finding the Fourth Proportional to 12,122.66, 16,728.73 and 7,342.55

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Solution

The fourth proportional to 12,122.66, 16,728.73 and 7,342.55 is: 10,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.66 : 16,728.73 = 7,342.55 : x
  2. Step 2: Convert to fraction form
    12,122.66/16,728.73 = 7,342.55/x
  3. Step 3: Cross multiply
    12,122.66x = 16,728.73 × 7,342.55
  4. Step 4: Simplify right side
    12,122.66x = 122,831,497.19
  5. Step 5: Solve for x
    x = 122,831,497.19/12,122.66
  6. Step 6: Final answer
    x = 10,132.39

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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.