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Finding the Fourth Proportional to 18,536.41, 25,583.61 and 11,824.08

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Solution

The fourth proportional to 18,536.41, 25,583.61 and 11,824.08 is: 16,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.41 : 25,583.61 = 11,824.08 : x
  2. Step 2: Convert to fraction form
    18,536.41/25,583.61 = 11,824.08/x
  3. Step 3: Cross multiply
    18,536.41x = 25,583.61 × 11,824.08
  4. Step 4: Simplify right side
    18,536.41x = 302,502,651.33
  5. Step 5: Solve for x
    x = 302,502,651.33/18,536.41
  6. Step 6: Final answer
    x = 16,319.38

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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.