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Finding the Fourth Proportional to 24,694.16, 34,078 and 13,941.37

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Solution

The fourth proportional to 24,694.16, 34,078 and 13,941.37 is: 19,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.16 : 34,078 = 13,941.37 : x
  2. Step 2: Convert to fraction form
    24,694.16/34,078 = 13,941.37/x
  3. Step 3: Cross multiply
    24,694.16x = 34,078 × 13,941.37
  4. Step 4: Simplify right side
    24,694.16x = 475,093,836.47
  5. Step 5: Solve for x
    x = 475,093,836.47/24,694.16
  6. Step 6: Final answer
    x = 19,239.12

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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.