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Finding the Fourth Proportional to 13,401, 20,071.74 and 7,544.52

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Solution

The fourth proportional to 13,401, 20,071.74 and 7,544.52 is: 11,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401 : 20,071.74 = 7,544.52 : x
  2. Step 2: Convert to fraction form
    13,401/20,071.74 = 7,544.52/x
  3. Step 3: Cross multiply
    13,401x = 20,071.74 × 7,544.52
  4. Step 4: Simplify right side
    13,401x = 151,431,643.86
  5. Step 5: Solve for x
    x = 151,431,643.86/13,401
  6. Step 6: Final answer
    x = 11,300.03

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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.