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Finding the Fourth Proportional to 13,494.78, 20,212.74 and 11,128.23

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Solution

The fourth proportional to 13,494.78, 20,212.74 and 11,128.23 is: 16,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.78 : 20,212.74 = 11,128.23 : x
  2. Step 2: Convert to fraction form
    13,494.78/20,212.74 = 11,128.23/x
  3. Step 3: Cross multiply
    13,494.78x = 20,212.74 × 11,128.23
  4. Step 4: Simplify right side
    13,494.78x = 224,932,019.65
  5. Step 5: Solve for x
    x = 224,932,019.65/13,494.78
  6. Step 6: Final answer
    x = 16,668.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.