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Finding the Fourth Proportional to 15,161.68, 22,763.79 and 7,771.44

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Solution

The fourth proportional to 15,161.68, 22,763.79 and 7,771.44 is: 11,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,161.68 : 22,763.79 = 7,771.44 : x
  2. Step 2: Convert to fraction form
    15,161.68/22,763.79 = 7,771.44/x
  3. Step 3: Cross multiply
    15,161.68x = 22,763.79 × 7,771.44
  4. Step 4: Simplify right side
    15,161.68x = 176,907,428.16
  5. Step 5: Solve for x
    x = 176,907,428.16/15,161.68
  6. Step 6: Final answer
    x = 11,668.06

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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.