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Finding the Fourth Proportional to 24,694.75, 34,078.49 and 13,364.00

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Solution

The fourth proportional to 24,694.75, 34,078.49 and 13,364.00 is: 18,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.75 : 34,078.49 = 13,364.00 : x
  2. Step 2: Convert to fraction form
    24,694.75/34,078.49 = 13,364.00/x
  3. Step 3: Cross multiply
    24,694.75x = 34,078.49 × 13,364.00
  4. Step 4: Simplify right side
    24,694.75x = 455,424,736.56
  5. Step 5: Solve for x
    x = 455,424,736.56/24,694.75
  6. Step 6: Final answer
    x = 18,442.17

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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.