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Finding the Fourth Proportional to 12,274.34, 16,933.20 and 8,294

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Solution

The fourth proportional to 12,274.34, 16,933.20 and 8,294 is: 11,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.34 : 16,933.20 = 8,294 : x
  2. Step 2: Convert to fraction form
    12,274.34/16,933.20 = 8,294/x
  3. Step 3: Cross multiply
    12,274.34x = 16,933.20 × 8,294
  4. Step 4: Simplify right side
    12,274.34x = 140,443,960.80
  5. Step 5: Solve for x
    x = 140,443,960.80/12,274.34
  6. Step 6: Final answer
    x = 11,442.08

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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.