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Finding the Fourth Proportional to 25,884.75, 35,632.81 and 19,157.70

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Solution

The fourth proportional to 25,884.75, 35,632.81 and 19,157.70 is: 26,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.75 : 35,632.81 = 19,157.70 : x
  2. Step 2: Convert to fraction form
    25,884.75/35,632.81 = 19,157.70/x
  3. Step 3: Cross multiply
    25,884.75x = 35,632.81 × 19,157.70
  4. Step 4: Simplify right side
    25,884.75x = 682,642,725.32
  5. Step 5: Solve for x
    x = 682,642,725.32/25,884.75
  6. Step 6: Final answer
    x = 26,372.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.