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Finding the Fourth Proportional to 19,524.52, 26,946.50 and 11,969.50

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Solution

The fourth proportional to 19,524.52, 26,946.50 and 11,969.50 is: 16,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.52 : 26,946.50 = 11,969.50 : x
  2. Step 2: Convert to fraction form
    19,524.52/26,946.50 = 11,969.50/x
  3. Step 3: Cross multiply
    19,524.52x = 26,946.50 × 11,969.50
  4. Step 4: Simplify right side
    19,524.52x = 322,536,012.94
  5. Step 5: Solve for x
    x = 322,536,012.94/19,524.52
  6. Step 6: Final answer
    x = 16,519.54

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1.5x scale

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.