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Finding the Fourth Proportional to 13,961.68, 19,266.60 and 7,673.68

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Solution

The fourth proportional to 13,961.68, 19,266.60 and 7,673.68 is: 10,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.68 : 19,266.60 = 7,673.68 : x
  2. Step 2: Convert to fraction form
    13,961.68/19,266.60 = 7,673.68/x
  3. Step 3: Cross multiply
    13,961.68x = 19,266.60 × 7,673.68
  4. Step 4: Simplify right side
    13,961.68x = 147,845,723.09
  5. Step 5: Solve for x
    x = 147,845,723.09/13,961.68
  6. Step 6: Final answer
    x = 10,589.39

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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.