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Finding the Fourth Proportional to 25,993.01, 38,989.51 and 10,205.48

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Solution

The fourth proportional to 25,993.01, 38,989.51 and 10,205.48 is: 15,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993.01 : 38,989.51 = 10,205.48 : x
  2. Step 2: Convert to fraction form
    25,993.01/38,989.51 = 10,205.48/x
  3. Step 3: Cross multiply
    25,993.01x = 38,989.51 × 10,205.48
  4. Step 4: Simplify right side
    25,993.01x = 397,906,664.51
  5. Step 5: Solve for x
    x = 397,906,664.51/25,993.01
  6. Step 6: Final answer
    x = 15,308.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.