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Finding the Fourth Proportional to 23,467.62, 32,385.36 and 12,857.22

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Solution

The fourth proportional to 23,467.62, 32,385.36 and 12,857.22 is: 17,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.62 : 32,385.36 = 12,857.22 : x
  2. Step 2: Convert to fraction form
    23,467.62/32,385.36 = 12,857.22/x
  3. Step 3: Cross multiply
    23,467.62x = 32,385.36 × 12,857.22
  4. Step 4: Simplify right side
    23,467.62x = 416,385,698.30
  5. Step 5: Solve for x
    x = 416,385,698.30/23,467.62
  6. Step 6: Final answer
    x = 17,742.99

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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.