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Finding the Fourth Proportional to 23,763.84, 32,786.08 and 13,692.03

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Solution

The fourth proportional to 23,763.84, 32,786.08 and 13,692.03 is: 18,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.84 : 32,786.08 = 13,692.03 : x
  2. Step 2: Convert to fraction form
    23,763.84/32,786.08 = 13,692.03/x
  3. Step 3: Cross multiply
    23,763.84x = 32,786.08 × 13,692.03
  4. Step 4: Simplify right side
    23,763.84x = 448,907,990.94
  5. Step 5: Solve for x
    x = 448,907,990.94/23,763.84
  6. Step 6: Final answer
    x = 18,890.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.