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Finding the Fourth Proportional to 13,558.25, 18,709.38 and 7,893.05

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Solution

The fourth proportional to 13,558.25, 18,709.38 and 7,893.05 is: 10,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,558.25 : 18,709.38 = 7,893.05 : x
  2. Step 2: Convert to fraction form
    13,558.25/18,709.38 = 7,893.05/x
  3. Step 3: Cross multiply
    13,558.25x = 18,709.38 × 7,893.05
  4. Step 4: Simplify right side
    13,558.25x = 147,673,978.26
  5. Step 5: Solve for x
    x = 147,673,978.26/13,558.25
  6. Step 6: Final answer
    x = 10,891.82

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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.