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Finding the Fourth Proportional to 17,479.44, 24,118.92 and 10,026

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Solution

The fourth proportional to 17,479.44, 24,118.92 and 10,026 is: 13,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,479.44 : 24,118.92 = 10,026 : x
  2. Step 2: Convert to fraction form
    17,479.44/24,118.92 = 10,026/x
  3. Step 3: Cross multiply
    17,479.44x = 24,118.92 × 10,026
  4. Step 4: Simplify right side
    17,479.44x = 241,816,291.92
  5. Step 5: Solve for x
    x = 241,816,291.92/17,479.44
  6. Step 6: Final answer
    x = 13,834.33

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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.