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Finding the Fourth Proportional to 12,274.27, 16,949.33 and 9,124.99

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Solution

The fourth proportional to 12,274.27, 16,949.33 and 9,124.99 is: 12,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.27 : 16,949.33 = 9,124.99 : x
  2. Step 2: Convert to fraction form
    12,274.27/16,949.33 = 9,124.99/x
  3. Step 3: Cross multiply
    12,274.27x = 16,949.33 × 9,124.99
  4. Step 4: Simplify right side
    12,274.27x = 154,662,466.76
  5. Step 5: Solve for x
    x = 154,662,466.76/12,274.27
  6. Step 6: Final answer
    x = 12,600.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.