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Finding the Fourth Proportional to 12,538.74, 18,805.95 and 3,771.30

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Solution

The fourth proportional to 12,538.74, 18,805.95 and 3,771.30 is: 5,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.74 : 18,805.95 = 3,771.30 : x
  2. Step 2: Convert to fraction form
    12,538.74/18,805.95 = 3,771.30/x
  3. Step 3: Cross multiply
    12,538.74x = 18,805.95 × 3,771.30
  4. Step 4: Simplify right side
    12,538.74x = 70,922,879.24
  5. Step 5: Solve for x
    x = 70,922,879.24/12,538.74
  6. Step 6: Final answer
    x = 5,656.30

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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.