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Finding the Fourth Proportional to 25,798.60, 35,591.46 and 16,843

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Solution

The fourth proportional to 25,798.60, 35,591.46 and 16,843 is: 23,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,798.60 : 35,591.46 = 16,843 : x
  2. Step 2: Convert to fraction form
    25,798.60/35,591.46 = 16,843/x
  3. Step 3: Cross multiply
    25,798.60x = 35,591.46 × 16,843
  4. Step 4: Simplify right side
    25,798.60x = 599,466,960.78
  5. Step 5: Solve for x
    x = 599,466,960.78/25,798.60
  6. Step 6: Final answer
    x = 23,236.41

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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.