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Finding the Fourth Proportional to 17,837.19, 24,615 and 9,879.39

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Solution

The fourth proportional to 17,837.19, 24,615 and 9,879.39 is: 13,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.19 : 24,615 = 9,879.39 : x
  2. Step 2: Convert to fraction form
    17,837.19/24,615 = 9,879.39/x
  3. Step 3: Cross multiply
    17,837.19x = 24,615 × 9,879.39
  4. Step 4: Simplify right side
    17,837.19x = 243,181,184.85
  5. Step 5: Solve for x
    x = 243,181,184.85/17,837.19
  6. Step 6: Final answer
    x = 13,633.38

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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.