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Finding the Fourth Proportional to 13,396, 20,094.70 and 3,535.38

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Solution

The fourth proportional to 13,396, 20,094.70 and 3,535.38 is: 5,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396 : 20,094.70 = 3,535.38 : x
  2. Step 2: Convert to fraction form
    13,396/20,094.70 = 3,535.38/x
  3. Step 3: Cross multiply
    13,396x = 20,094.70 × 3,535.38
  4. Step 4: Simplify right side
    13,396x = 71,042,400.49
  5. Step 5: Solve for x
    x = 71,042,400.49/13,396
  6. Step 6: Final answer
    x = 5,303.25

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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.