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Finding the Fourth Proportional to 23,078.01, 31,847.67 and 12,467.64

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Solution

The fourth proportional to 23,078.01, 31,847.67 and 12,467.64 is: 17,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078.01 : 31,847.67 = 12,467.64 : x
  2. Step 2: Convert to fraction form
    23,078.01/31,847.67 = 12,467.64/x
  3. Step 3: Cross multiply
    23,078.01x = 31,847.67 × 12,467.64
  4. Step 4: Simplify right side
    23,078.01x = 397,065,284.40
  5. Step 5: Solve for x
    x = 397,065,284.40/23,078.01
  6. Step 6: Final answer
    x = 17,205.35

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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.