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Finding the Fourth Proportional to 14,975.10, 20,692.97 and 12,821.24

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Solution

The fourth proportional to 14,975.10, 20,692.97 and 12,821.24 is: 17,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975.10 : 20,692.97 = 12,821.24 : x
  2. Step 2: Convert to fraction form
    14,975.10/20,692.97 = 12,821.24/x
  3. Step 3: Cross multiply
    14,975.10x = 20,692.97 × 12,821.24
  4. Step 4: Simplify right side
    14,975.10x = 265,309,648.10
  5. Step 5: Solve for x
    x = 265,309,648.10/14,975.10
  6. Step 6: Final answer
    x = 17,716.72

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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.