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Finding the Fourth Proportional to 21,893.44, 30,212.98 and 12,462

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Solution

The fourth proportional to 21,893.44, 30,212.98 and 12,462 is: 17,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.44 : 30,212.98 = 12,462 : x
  2. Step 2: Convert to fraction form
    21,893.44/30,212.98 = 12,462/x
  3. Step 3: Cross multiply
    21,893.44x = 30,212.98 × 12,462
  4. Step 4: Simplify right side
    21,893.44x = 376,514,156.76
  5. Step 5: Solve for x
    x = 376,514,156.76/21,893.44
  6. Step 6: Final answer
    x = 17,197.58

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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.