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Finding the Fourth Proportional to 17,345.86, 26,019 and 4,198.30

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Solution

The fourth proportional to 17,345.86, 26,019 and 4,198.30 is: 6,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,345.86 : 26,019 = 4,198.30 : x
  2. Step 2: Convert to fraction form
    17,345.86/26,019 = 4,198.30/x
  3. Step 3: Cross multiply
    17,345.86x = 26,019 × 4,198.30
  4. Step 4: Simplify right side
    17,345.86x = 109,235,567.70
  5. Step 5: Solve for x
    x = 109,235,567.70/17,345.86
  6. Step 6: Final answer
    x = 6,297.50

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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.