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Finding the Fourth Proportional to 13,273.86, 19,893.08 and 4,945.49

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Solution

The fourth proportional to 13,273.86, 19,893.08 and 4,945.49 is: 7,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,273.86 : 19,893.08 = 4,945.49 : x
  2. Step 2: Convert to fraction form
    13,273.86/19,893.08 = 4,945.49/x
  3. Step 3: Cross multiply
    13,273.86x = 19,893.08 × 4,945.49
  4. Step 4: Simplify right side
    13,273.86x = 98,380,987.89
  5. Step 5: Solve for x
    x = 98,380,987.89/13,273.86
  6. Step 6: Final answer
    x = 7,411.63

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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.