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Finding the Fourth Proportional to 12,122.96, 18,185.58 and 4,728.04

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Solution

The fourth proportional to 12,122.96, 18,185.58 and 4,728.04 is: 7,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.96 : 18,185.58 = 4,728.04 : x
  2. Step 2: Convert to fraction form
    12,122.96/18,185.58 = 4,728.04/x
  3. Step 3: Cross multiply
    12,122.96x = 18,185.58 × 4,728.04
  4. Step 4: Simplify right side
    12,122.96x = 85,982,149.66
  5. Step 5: Solve for x
    x = 85,982,149.66/12,122.96
  6. Step 6: Final answer
    x = 7,092.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.