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Finding the Fourth Proportional to 19,198.26, 26,493.64 and 10,814.76

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Solution

The fourth proportional to 19,198.26, 26,493.64 and 10,814.76 is: 14,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.26 : 26,493.64 = 10,814.76 : x
  2. Step 2: Convert to fraction form
    19,198.26/26,493.64 = 10,814.76/x
  3. Step 3: Cross multiply
    19,198.26x = 26,493.64 × 10,814.76
  4. Step 4: Simplify right side
    19,198.26x = 286,522,358.13
  5. Step 5: Solve for x
    x = 286,522,358.13/19,198.26
  6. Step 6: Final answer
    x = 14,924.39

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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.