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Finding the Fourth Proportional to 16,345, 22,556.46 and 8,893

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Solution

The fourth proportional to 16,345, 22,556.46 and 8,893 is: 12,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345 : 22,556.46 = 8,893 : x
  2. Step 2: Convert to fraction form
    16,345/22,556.46 = 8,893/x
  3. Step 3: Cross multiply
    16,345x = 22,556.46 × 8,893
  4. Step 4: Simplify right side
    16,345x = 200,594,598.78
  5. Step 5: Solve for x
    x = 200,594,598.78/16,345
  6. Step 6: Final answer
    x = 12,272.54

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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.