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Finding the Fourth Proportional to 23,969.96, 33,077.16 and 13,758.83

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Solution

The fourth proportional to 23,969.96, 33,077.16 and 13,758.83 is: 18,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.96 : 33,077.16 = 13,758.83 : x
  2. Step 2: Convert to fraction form
    23,969.96/33,077.16 = 13,758.83/x
  3. Step 3: Cross multiply
    23,969.96x = 33,077.16 × 13,758.83
  4. Step 4: Simplify right side
    23,969.96x = 455,102,979.98
  5. Step 5: Solve for x
    x = 455,102,979.98/23,969.96
  6. Step 6: Final answer
    x = 18,986.39

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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.