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Finding the Fourth Proportional to 18,311.14, 25,272.06 and 11,597.38

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Solution

The fourth proportional to 18,311.14, 25,272.06 and 11,597.38 is: 16,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.14 : 25,272.06 = 11,597.38 : x
  2. Step 2: Convert to fraction form
    18,311.14/25,272.06 = 11,597.38/x
  3. Step 3: Cross multiply
    18,311.14x = 25,272.06 × 11,597.38
  4. Step 4: Simplify right side
    18,311.14x = 293,089,683.20
  5. Step 5: Solve for x
    x = 293,089,683.20/18,311.14
  6. Step 6: Final answer
    x = 16,006.09

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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.