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Finding the Fourth Proportional to 13,653.38, 18,844.90 and 8,682.50

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Solution

The fourth proportional to 13,653.38, 18,844.90 and 8,682.50 is: 11,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.38 : 18,844.90 = 8,682.50 : x
  2. Step 2: Convert to fraction form
    13,653.38/18,844.90 = 8,682.50/x
  3. Step 3: Cross multiply
    13,653.38x = 18,844.90 × 8,682.50
  4. Step 4: Simplify right side
    13,653.38x = 163,620,844.25
  5. Step 5: Solve for x
    x = 163,620,844.25/13,653.38
  6. Step 6: Final answer
    x = 11,983.91

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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.