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Finding the Fourth Proportional to 24,978.26, 34,468.91 and 13,647.22

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Solution

The fourth proportional to 24,978.26, 34,468.91 and 13,647.22 is: 18,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.26 : 34,468.91 = 13,647.22 : x
  2. Step 2: Convert to fraction form
    24,978.26/34,468.91 = 13,647.22/x
  3. Step 3: Cross multiply
    24,978.26x = 34,468.91 × 13,647.22
  4. Step 4: Simplify right side
    24,978.26x = 470,404,797.93
  5. Step 5: Solve for x
    x = 470,404,797.93/24,978.26
  6. Step 6: Final answer
    x = 18,832.57

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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.