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Finding the Fourth Proportional to 21,883.50, 30,199.23 and 11,947.50

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Solution

The fourth proportional to 21,883.50, 30,199.23 and 11,947.50 is: 16,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.50 : 30,199.23 = 11,947.50 : x
  2. Step 2: Convert to fraction form
    21,883.50/30,199.23 = 11,947.50/x
  3. Step 3: Cross multiply
    21,883.50x = 30,199.23 × 11,947.50
  4. Step 4: Simplify right side
    21,883.50x = 360,805,300.43
  5. Step 5: Solve for x
    x = 360,805,300.43/21,883.50
  6. Step 6: Final answer
    x = 16,487.55

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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.