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Finding the Fourth Proportional to 23,478.36, 32,400.09 and 12,867.96

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Solution

The fourth proportional to 23,478.36, 32,400.09 and 12,867.96 is: 17,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.36 : 32,400.09 = 12,867.96 : x
  2. Step 2: Convert to fraction form
    23,478.36/32,400.09 = 12,867.96/x
  3. Step 3: Cross multiply
    23,478.36x = 32,400.09 × 12,867.96
  4. Step 4: Simplify right side
    23,478.36x = 416,923,062.12
  5. Step 5: Solve for x
    x = 416,923,062.12/23,478.36
  6. Step 6: Final answer
    x = 17,757.76

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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.