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Finding the Fourth Proportional to 25,978.38, 35,850.23 and 16,435.33

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Solution

The fourth proportional to 25,978.38, 35,850.23 and 16,435.33 is: 22,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.38 : 35,850.23 = 16,435.33 : x
  2. Step 2: Convert to fraction form
    25,978.38/35,850.23 = 16,435.33/x
  3. Step 3: Cross multiply
    25,978.38x = 35,850.23 × 16,435.33
  4. Step 4: Simplify right side
    25,978.38x = 589,210,360.63
  5. Step 5: Solve for x
    x = 589,210,360.63/25,978.38
  6. Step 6: Final answer
    x = 22,680.80

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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.