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Finding the Fourth Proportional to 18,889.82, 28,307.18 and 16,814

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Solution

The fourth proportional to 18,889.82, 28,307.18 and 16,814 is: 25,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,889.82 : 28,307.18 = 16,814 : x
  2. Step 2: Convert to fraction form
    18,889.82/28,307.18 = 16,814/x
  3. Step 3: Cross multiply
    18,889.82x = 28,307.18 × 16,814
  4. Step 4: Simplify right side
    18,889.82x = 475,956,924.52
  5. Step 5: Solve for x
    x = 475,956,924.52/18,889.82
  6. Step 6: Final answer
    x = 25,196.48

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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.