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Finding the Fourth Proportional to 20,517.12, 28,313.82 and 12,132

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Solution

The fourth proportional to 20,517.12, 28,313.82 and 12,132 is: 16,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.12 : 28,313.82 = 12,132 : x
  2. Step 2: Convert to fraction form
    20,517.12/28,313.82 = 12,132/x
  3. Step 3: Cross multiply
    20,517.12x = 28,313.82 × 12,132
  4. Step 4: Simplify right side
    20,517.12x = 343,503,264.24
  5. Step 5: Solve for x
    x = 343,503,264.24/20,517.12
  6. Step 6: Final answer
    x = 16,742.27

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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.