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Finding the Fourth Proportional to 15,906.40, 23,815.80 and 8,077

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Solution

The fourth proportional to 15,906.40, 23,815.80 and 8,077 is: 12,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.40 : 23,815.80 = 8,077 : x
  2. Step 2: Convert to fraction form
    15,906.40/23,815.80 = 8,077/x
  3. Step 3: Cross multiply
    15,906.40x = 23,815.80 × 8,077
  4. Step 4: Simplify right side
    15,906.40x = 192,360,216.60
  5. Step 5: Solve for x
    x = 192,360,216.60/15,906.40
  6. Step 6: Final answer
    x = 12,093.26

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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.