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Finding the Fourth Proportional to 16,784.83, 25,138.95 and 8,025.94

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Solution

The fourth proportional to 16,784.83, 25,138.95 and 8,025.94 is: 12,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.83 : 25,138.95 = 8,025.94 : x
  2. Step 2: Convert to fraction form
    16,784.83/25,138.95 = 8,025.94/x
  3. Step 3: Cross multiply
    16,784.83x = 25,138.95 × 8,025.94
  4. Step 4: Simplify right side
    16,784.83x = 201,763,704.36
  5. Step 5: Solve for x
    x = 201,763,704.36/16,784.83
  6. Step 6: Final answer
    x = 12,020.60

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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.