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Finding the Fourth Proportional to 16,556, 22,847.40 and 9,104

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Solution

The fourth proportional to 16,556, 22,847.40 and 9,104 is: 12,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,556 : 22,847.40 = 9,104 : x
  2. Step 2: Convert to fraction form
    16,556/22,847.40 = 9,104/x
  3. Step 3: Cross multiply
    16,556x = 22,847.40 × 9,104
  4. Step 4: Simplify right side
    16,556x = 208,002,729.60
  5. Step 5: Solve for x
    x = 208,002,729.60/16,556
  6. Step 6: Final answer
    x = 12,563.59

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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.