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Finding the Fourth Proportional to 15,773.63, 23,676.10 and 8,378.15

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Solution

The fourth proportional to 15,773.63, 23,676.10 and 8,378.15 is: 12,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.63 : 23,676.10 = 8,378.15 : x
  2. Step 2: Convert to fraction form
    15,773.63/23,676.10 = 8,378.15/x
  3. Step 3: Cross multiply
    15,773.63x = 23,676.10 × 8,378.15
  4. Step 4: Simplify right side
    15,773.63x = 198,361,917.22
  5. Step 5: Solve for x
    x = 198,361,917.22/15,773.63
  6. Step 6: Final answer
    x = 12,575.54

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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.