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Finding the Fourth Proportional to 15,555.96, 23,314.40 and 12,256

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Solution

The fourth proportional to 15,555.96, 23,314.40 and 12,256 is: 18,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,555.96 : 23,314.40 = 12,256 : x
  2. Step 2: Convert to fraction form
    15,555.96/23,314.40 = 12,256/x
  3. Step 3: Cross multiply
    15,555.96x = 23,314.40 × 12,256
  4. Step 4: Simplify right side
    15,555.96x = 285,741,286.40
  5. Step 5: Solve for x
    x = 285,741,286.40/15,555.96
  6. Step 6: Final answer
    x = 18,368.61

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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.