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Finding the Fourth Proportional to 24,942.90, 34,418.18 and 14,189.14

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Solution

The fourth proportional to 24,942.90, 34,418.18 and 14,189.14 is: 19,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.90 : 34,418.18 = 14,189.14 : x
  2. Step 2: Convert to fraction form
    24,942.90/34,418.18 = 14,189.14/x
  3. Step 3: Cross multiply
    24,942.90x = 34,418.18 × 14,189.14
  4. Step 4: Simplify right side
    24,942.90x = 488,364,453.06
  5. Step 5: Solve for x
    x = 488,364,453.06/24,942.90
  6. Step 6: Final answer
    x = 19,579.29

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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.