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Finding the Fourth Proportional to 17,745.44, 24,484.20 and 13,021.52

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Solution

The fourth proportional to 17,745.44, 24,484.20 and 13,021.52 is: 17,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.44 : 24,484.20 = 13,021.52 : x
  2. Step 2: Convert to fraction form
    17,745.44/24,484.20 = 13,021.52/x
  3. Step 3: Cross multiply
    17,745.44x = 24,484.20 × 13,021.52
  4. Step 4: Simplify right side
    17,745.44x = 318,821,499.98
  5. Step 5: Solve for x
    x = 318,821,499.98/17,745.44
  6. Step 6: Final answer
    x = 17,966.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.