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Finding the Fourth Proportional to 13,102.25, 18,093.11 and 8,323.74

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Solution

The fourth proportional to 13,102.25, 18,093.11 and 8,323.74 is: 11,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.25 : 18,093.11 = 8,323.74 : x
  2. Step 2: Convert to fraction form
    13,102.25/18,093.11 = 8,323.74/x
  3. Step 3: Cross multiply
    13,102.25x = 18,093.11 × 8,323.74
  4. Step 4: Simplify right side
    13,102.25x = 150,602,343.43
  5. Step 5: Solve for x
    x = 150,602,343.43/13,102.25
  6. Step 6: Final answer
    x = 11,494.39

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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.