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Finding the Fourth Proportional to 13,680.89, 18,879.63 and 7,712.60

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Solution

The fourth proportional to 13,680.89, 18,879.63 and 7,712.60 is: 10,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.89 : 18,879.63 = 7,712.60 : x
  2. Step 2: Convert to fraction form
    13,680.89/18,879.63 = 7,712.60/x
  3. Step 3: Cross multiply
    13,680.89x = 18,879.63 × 7,712.60
  4. Step 4: Simplify right side
    13,680.89x = 145,610,939.94
  5. Step 5: Solve for x
    x = 145,610,939.94/13,680.89
  6. Step 6: Final answer
    x = 10,643.39

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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.