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Finding the Fourth Proportional to 16,798.40, 25,176.72 and 8,021.60

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Solution

The fourth proportional to 16,798.40, 25,176.72 and 8,021.60 is: 12,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798.40 : 25,176.72 = 8,021.60 : x
  2. Step 2: Convert to fraction form
    16,798.40/25,176.72 = 8,021.60/x
  3. Step 3: Cross multiply
    16,798.40x = 25,176.72 × 8,021.60
  4. Step 4: Simplify right side
    16,798.40x = 201,957,577.15
  5. Step 5: Solve for x
    x = 201,957,577.15/16,798.40
  6. Step 6: Final answer
    x = 12,022.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.