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Finding the Fourth Proportional to 13,883.19, 20,824.79 and 11,096.81

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Solution

The fourth proportional to 13,883.19, 20,824.79 and 11,096.81 is: 16,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.19 : 20,824.79 = 11,096.81 : x
  2. Step 2: Convert to fraction form
    13,883.19/20,824.79 = 11,096.81/x
  3. Step 3: Cross multiply
    13,883.19x = 20,824.79 × 11,096.81
  4. Step 4: Simplify right side
    13,883.19x = 231,088,734.50
  5. Step 5: Solve for x
    x = 231,088,734.50/13,883.19
  6. Step 6: Final answer
    x = 16,645.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.