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Finding the Fourth Proportional to 23,154.96, 31,953.94 and 12,544.57

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Solution

The fourth proportional to 23,154.96, 31,953.94 and 12,544.57 is: 17,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.96 : 31,953.94 = 12,544.57 : x
  2. Step 2: Convert to fraction form
    23,154.96/31,953.94 = 12,544.57/x
  3. Step 3: Cross multiply
    23,154.96x = 31,953.94 × 12,544.57
  4. Step 4: Simplify right side
    23,154.96x = 400,848,516.25
  5. Step 5: Solve for x
    x = 400,848,516.25/23,154.96
  6. Step 6: Final answer
    x = 17,311.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.