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Finding the Fourth Proportional to 17,826, 26,740.44 and 5,514

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Solution

The fourth proportional to 17,826, 26,740.44 and 5,514 is: 8,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826 : 26,740.44 = 5,514 : x
  2. Step 2: Convert to fraction form
    17,826/26,740.44 = 5,514/x
  3. Step 3: Cross multiply
    17,826x = 26,740.44 × 5,514
  4. Step 4: Simplify right side
    17,826x = 147,446,786.16
  5. Step 5: Solve for x
    x = 147,446,786.16/17,826
  6. Step 6: Final answer
    x = 8,271.45

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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.