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Finding the Fourth Proportional to 23,682, 35,512.64 and 12,586.02

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Solution

The fourth proportional to 23,682, 35,512.64 and 12,586.02 is: 18,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682 : 35,512.64 = 12,586.02 : x
  2. Step 2: Convert to fraction form
    23,682/35,512.64 = 12,586.02/x
  3. Step 3: Cross multiply
    23,682x = 35,512.64 × 12,586.02
  4. Step 4: Simplify right side
    23,682x = 446,962,797.29
  5. Step 5: Solve for x
    x = 446,962,797.29/23,682
  6. Step 6: Final answer
    x = 18,873.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.