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Finding the Fourth Proportional to 23,682.49, 35,513.40 and 12,586.51

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Solution

The fourth proportional to 23,682.49, 35,513.40 and 12,586.51 is: 18,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.49 : 35,513.40 = 12,586.51 : x
  2. Step 2: Convert to fraction form
    23,682.49/35,513.40 = 12,586.51/x
  3. Step 3: Cross multiply
    23,682.49x = 35,513.40 × 12,586.51
  4. Step 4: Simplify right side
    23,682.49x = 446,989,764.23
  5. Step 5: Solve for x
    x = 446,989,764.23/23,682.49
  6. Step 6: Final answer
    x = 18,874.27

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