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Finding the Fourth Proportional to 12,274.89, 16,946.33 and 8,090.43

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Solution

The fourth proportional to 12,274.89, 16,946.33 and 8,090.43 is: 11,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.89 : 16,946.33 = 8,090.43 : x
  2. Step 2: Convert to fraction form
    12,274.89/16,946.33 = 8,090.43/x
  3. Step 3: Cross multiply
    12,274.89x = 16,946.33 × 8,090.43
  4. Step 4: Simplify right side
    12,274.89x = 137,103,056.17
  5. Step 5: Solve for x
    x = 137,103,056.17/12,274.89
  6. Step 6: Final answer
    x = 11,169.39

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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.