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Finding the Fourth Proportional to 19,467, 26,865 and 10,969.02

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Solution

The fourth proportional to 19,467, 26,865 and 10,969.02 is: 15,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,467 : 26,865 = 10,969.02 : x
  2. Step 2: Convert to fraction form
    19,467/26,865 = 10,969.02/x
  3. Step 3: Cross multiply
    19,467x = 26,865 × 10,969.02
  4. Step 4: Simplify right side
    19,467x = 294,682,722.30
  5. Step 5: Solve for x
    x = 294,682,722.30/19,467
  6. Step 6: Final answer
    x = 15,137.55

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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.