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Finding the Fourth Proportional to 18,697.36, 25,801.20 and 10,734

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Solution

The fourth proportional to 18,697.36, 25,801.20 and 10,734 is: 14,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.36 : 25,801.20 = 10,734 : x
  2. Step 2: Convert to fraction form
    18,697.36/25,801.20 = 10,734/x
  3. Step 3: Cross multiply
    18,697.36x = 25,801.20 × 10,734
  4. Step 4: Simplify right side
    18,697.36x = 276,950,080.80
  5. Step 5: Solve for x
    x = 276,950,080.80/18,697.36
  6. Step 6: Final answer
    x = 14,812.26

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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.