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Finding the Fourth Proportional to 23,149.32, 31,945.96 and 12,538.96

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Solution

The fourth proportional to 23,149.32, 31,945.96 and 12,538.96 is: 17,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149.32 : 31,945.96 = 12,538.96 : x
  2. Step 2: Convert to fraction form
    23,149.32/31,945.96 = 12,538.96/x
  3. Step 3: Cross multiply
    23,149.32x = 31,945.96 × 12,538.96
  4. Step 4: Simplify right side
    23,149.32x = 400,569,114.60
  5. Step 5: Solve for x
    x = 400,569,114.60/23,149.32
  6. Step 6: Final answer
    x = 17,303.71

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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.