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Finding the Fourth Proportional to 34,418.50, 51,636.40 and 9,794.50

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Solution

The fourth proportional to 34,418.50, 51,636.40 and 9,794.50 is: 14,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418.50 : 51,636.40 = 9,794.50 : x
  2. Step 2: Convert to fraction form
    34,418.50/51,636.40 = 9,794.50/x
  3. Step 3: Cross multiply
    34,418.50x = 51,636.40 × 9,794.50
  4. Step 4: Simplify right side
    34,418.50x = 505,752,719.80
  5. Step 5: Solve for x
    x = 505,752,719.80/34,418.50
  6. Step 6: Final answer
    x = 14,694.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.