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Finding the Fourth Proportional to 12,627.72, 18,941.60 and 8,001

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Solution

The fourth proportional to 12,627.72, 18,941.60 and 8,001 is: 12,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.72 : 18,941.60 = 8,001 : x
  2. Step 2: Convert to fraction form
    12,627.72/18,941.60 = 8,001/x
  3. Step 3: Cross multiply
    12,627.72x = 18,941.60 × 8,001
  4. Step 4: Simplify right side
    12,627.72x = 151,551,741.60
  5. Step 5: Solve for x
    x = 151,551,741.60/12,627.72
  6. Step 6: Final answer
    x = 12,001.51

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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.