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Finding the Fourth Proportional to 33,218.40, 49,826.40 and 13,496.40

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Solution

The fourth proportional to 33,218.40, 49,826.40 and 13,496.40 is: 20,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,218.40 : 49,826.40 = 13,496.40 : x
  2. Step 2: Convert to fraction form
    33,218.40/49,826.40 = 13,496.40/x
  3. Step 3: Cross multiply
    33,218.40x = 49,826.40 × 13,496.40
  4. Step 4: Simplify right side
    33,218.40x = 672,477,024.96
  5. Step 5: Solve for x
    x = 672,477,024.96/33,218.40
  6. Step 6: Final answer
    x = 20,244.11

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