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Finding the Fourth Proportional to 18,783.38, 25,922.32 and 10,826.12

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Solution

The fourth proportional to 18,783.38, 25,922.32 and 10,826.12 is: 14,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,783.38 : 25,922.32 = 10,826.12 : x
  2. Step 2: Convert to fraction form
    18,783.38/25,922.32 = 10,826.12/x
  3. Step 3: Cross multiply
    18,783.38x = 25,922.32 × 10,826.12
  4. Step 4: Simplify right side
    18,783.38x = 280,638,147.00
  5. Step 5: Solve for x
    x = 280,638,147.00/18,783.38
  6. Step 6: Final answer
    x = 14,940.77

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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.