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Finding the Fourth Proportional to 15,477.96, 23,204.34 and 7,682.52

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Solution

The fourth proportional to 15,477.96, 23,204.34 and 7,682.52 is: 11,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.96 : 23,204.34 = 7,682.52 : x
  2. Step 2: Convert to fraction form
    15,477.96/23,204.34 = 7,682.52/x
  3. Step 3: Cross multiply
    15,477.96x = 23,204.34 × 7,682.52
  4. Step 4: Simplify right side
    15,477.96x = 178,267,806.14
  5. Step 5: Solve for x
    x = 178,267,806.14/15,477.96
  6. Step 6: Final answer
    x = 11,517.53

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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.