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Finding the Fourth Proportional to 15,428.67, 23,138.22 and 5,566.67

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Solution

The fourth proportional to 15,428.67, 23,138.22 and 5,566.67 is: 8,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.67 : 23,138.22 = 5,566.67 : x
  2. Step 2: Convert to fraction form
    15,428.67/23,138.22 = 5,566.67/x
  3. Step 3: Cross multiply
    15,428.67x = 23,138.22 × 5,566.67
  4. Step 4: Simplify right side
    15,428.67x = 128,802,719.44
  5. Step 5: Solve for x
    x = 128,802,719.44/15,428.67
  6. Step 6: Final answer
    x = 8,348.27

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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.