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Finding the Fourth Proportional to 18,673, 25,768.74 and 10,290.04

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Solution

The fourth proportional to 18,673, 25,768.74 and 10,290.04 is: 14,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,673 : 25,768.74 = 10,290.04 : x
  2. Step 2: Convert to fraction form
    18,673/25,768.74 = 10,290.04/x
  3. Step 3: Cross multiply
    18,673x = 25,768.74 × 10,290.04
  4. Step 4: Simplify right side
    18,673x = 265,161,365.35
  5. Step 5: Solve for x
    x = 265,161,365.35/18,673
  6. Step 6: Final answer
    x = 14,200.26

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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.