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Finding the Fourth Proportional to 17,862.96, 26,793.04 and 6,768.64

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Solution

The fourth proportional to 17,862.96, 26,793.04 and 6,768.64 is: 10,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.96 : 26,793.04 = 6,768.64 : x
  2. Step 2: Convert to fraction form
    17,862.96/26,793.04 = 6,768.64/x
  3. Step 3: Cross multiply
    17,862.96x = 26,793.04 × 6,768.64
  4. Step 4: Simplify right side
    17,862.96x = 181,352,442.27
  5. Step 5: Solve for x
    x = 181,352,442.27/17,862.96
  6. Step 6: Final answer
    x = 10,152.43

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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.