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Finding the Fourth Proportional to 25,540.49, 38,316.14 and 8,012.09

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Solution

The fourth proportional to 25,540.49, 38,316.14 and 8,012.09 is: 12,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,540.49 : 38,316.14 = 8,012.09 : x
  2. Step 2: Convert to fraction form
    25,540.49/38,316.14 = 8,012.09/x
  3. Step 3: Cross multiply
    25,540.49x = 38,316.14 × 8,012.09
  4. Step 4: Simplify right side
    25,540.49x = 306,992,130.49
  5. Step 5: Solve for x
    x = 306,992,130.49/25,540.49
  6. Step 6: Final answer
    x = 12,019.82

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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.