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Finding the Fourth Proportional to 25,071.41, 37,609.00 and 8,431.49

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Solution

The fourth proportional to 25,071.41, 37,609.00 and 8,431.49 is: 12,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,071.41 : 37,609.00 = 8,431.49 : x
  2. Step 2: Convert to fraction form
    25,071.41/37,609.00 = 8,431.49/x
  3. Step 3: Cross multiply
    25,071.41x = 37,609.00 × 8,431.49
  4. Step 4: Simplify right side
    25,071.41x = 317,099,698.29
  5. Step 5: Solve for x
    x = 317,099,698.29/25,071.41
  6. Step 6: Final answer
    x = 12,647.86

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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.