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Finding the Fourth Proportional to 24,992, 34,489 and 13,814

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Solution

The fourth proportional to 24,992, 34,489 and 13,814 is: 19,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,992 : 34,489 = 13,814 : x
  2. Step 2: Convert to fraction form
    24,992/34,489 = 13,814/x
  3. Step 3: Cross multiply
    24,992x = 34,489 × 13,814
  4. Step 4: Simplify right side
    24,992x = 476,431,046
  5. Step 5: Solve for x
    x = 476,431,046/24,992
  6. Step 6: Final answer
    x = 19,063.34

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