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Finding the Fourth Proportional to 14,186.82, 19,576.02 and 8,218.44

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Solution

The fourth proportional to 14,186.82, 19,576.02 and 8,218.44 is: 11,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.82 : 19,576.02 = 8,218.44 : x
  2. Step 2: Convert to fraction form
    14,186.82/19,576.02 = 8,218.44/x
  3. Step 3: Cross multiply
    14,186.82x = 19,576.02 × 8,218.44
  4. Step 4: Simplify right side
    14,186.82x = 160,884,345.81
  5. Step 5: Solve for x
    x = 160,884,345.81/14,186.82
  6. Step 6: Final answer
    x = 11,340.41

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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.