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Finding the Fourth Proportional to 20,857.50, 28,783.35 and 12,474

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Solution

The fourth proportional to 20,857.50, 28,783.35 and 12,474 is: 17,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.50 : 28,783.35 = 12,474 : x
  2. Step 2: Convert to fraction form
    20,857.50/28,783.35 = 12,474/x
  3. Step 3: Cross multiply
    20,857.50x = 28,783.35 × 12,474
  4. Step 4: Simplify right side
    20,857.50x = 359,043,507.90
  5. Step 5: Solve for x
    x = 359,043,507.90/20,857.50
  6. Step 6: Final answer
    x = 17,214.12

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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.