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Finding the Fourth Proportional to 13,444, 20,165.93 and 3,448.70

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Solution

The fourth proportional to 13,444, 20,165.93 and 3,448.70 is: 5,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444 : 20,165.93 = 3,448.70 : x
  2. Step 2: Convert to fraction form
    13,444/20,165.93 = 3,448.70/x
  3. Step 3: Cross multiply
    13,444x = 20,165.93 × 3,448.70
  4. Step 4: Simplify right side
    13,444x = 69,546,242.79
  5. Step 5: Solve for x
    x = 69,546,242.79/13,444
  6. Step 6: Final answer
    x = 5,173.03

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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.