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Finding the Fourth Proportional to 25,774.62, 35,556.36 and 16,226.34

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Solution

The fourth proportional to 25,774.62, 35,556.36 and 16,226.34 is: 22,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.62 : 35,556.36 = 16,226.34 : x
  2. Step 2: Convert to fraction form
    25,774.62/35,556.36 = 16,226.34/x
  3. Step 3: Cross multiply
    25,774.62x = 35,556.36 × 16,226.34
  4. Step 4: Simplify right side
    25,774.62x = 576,949,586.52
  5. Step 5: Solve for x
    x = 576,949,586.52/25,774.62
  6. Step 6: Final answer
    x = 22,384.41

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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.