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Finding the Fourth Proportional to 25,990.69, 38,954.89 and 10,185.86

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Solution

The fourth proportional to 25,990.69, 38,954.89 and 10,185.86 is: 15,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,990.69 : 38,954.89 = 10,185.86 : x
  2. Step 2: Convert to fraction form
    25,990.69/38,954.89 = 10,185.86/x
  3. Step 3: Cross multiply
    25,990.69x = 38,954.89 × 10,185.86
  4. Step 4: Simplify right side
    25,990.69x = 396,789,055.86
  5. Step 5: Solve for x
    x = 396,789,055.86/25,990.69
  6. Step 6: Final answer
    x = 15,266.58

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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.