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Finding the Fourth Proportional to 17,582.21, 26,373.23 and 7,193.96

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Solution

The fourth proportional to 17,582.21, 26,373.23 and 7,193.96 is: 10,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.21 : 26,373.23 = 7,193.96 : x
  2. Step 2: Convert to fraction form
    17,582.21/26,373.23 = 7,193.96/x
  3. Step 3: Cross multiply
    17,582.21x = 26,373.23 × 7,193.96
  4. Step 4: Simplify right side
    17,582.21x = 189,727,793.85
  5. Step 5: Solve for x
    x = 189,727,793.85/17,582.21
  6. Step 6: Final answer
    x = 10,790.90

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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.