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Finding the Fourth Proportional to 12,274.50, 16,944 and 8,301

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Solution

The fourth proportional to 12,274.50, 16,944 and 8,301 is: 11,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.50 : 16,944 = 8,301 : x
  2. Step 2: Convert to fraction form
    12,274.50/16,944 = 8,301/x
  3. Step 3: Cross multiply
    12,274.50x = 16,944 × 8,301
  4. Step 4: Simplify right side
    12,274.50x = 140,652,144
  5. Step 5: Solve for x
    x = 140,652,144/12,274.50
  6. Step 6: Final answer
    x = 11,458.89

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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.