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Finding the Fourth Proportional to 13,757.51, 18,985.44 and 8,092.49

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Solution

The fourth proportional to 13,757.51, 18,985.44 and 8,092.49 is: 11,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.51 : 18,985.44 = 8,092.49 : x
  2. Step 2: Convert to fraction form
    13,757.51/18,985.44 = 8,092.49/x
  3. Step 3: Cross multiply
    13,757.51x = 18,985.44 × 8,092.49
  4. Step 4: Simplify right side
    13,757.51x = 153,639,530.81
  5. Step 5: Solve for x
    x = 153,639,530.81/13,757.51
  6. Step 6: Final answer
    x = 11,167.69

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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.