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Finding the Fourth Proportional to 25,993.99, 38,990.98 and 10,206.46

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Solution

The fourth proportional to 25,993.99, 38,990.98 and 10,206.46 is: 15,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993.99 : 38,990.98 = 10,206.46 : x
  2. Step 2: Convert to fraction form
    25,993.99/38,990.98 = 10,206.46/x
  3. Step 3: Cross multiply
    25,993.99x = 38,990.98 × 10,206.46
  4. Step 4: Simplify right side
    25,993.99x = 397,959,939.23
  5. Step 5: Solve for x
    x = 397,959,939.23/25,993.99
  6. Step 6: Final answer
    x = 15,309.69

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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.