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Finding the Fourth Proportional to 20,426.40, 28,193.76 and 12,474

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Solution

The fourth proportional to 20,426.40, 28,193.76 and 12,474 is: 17,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426.40 : 28,193.76 = 12,474 : x
  2. Step 2: Convert to fraction form
    20,426.40/28,193.76 = 12,474/x
  3. Step 3: Cross multiply
    20,426.40x = 28,193.76 × 12,474
  4. Step 4: Simplify right side
    20,426.40x = 351,688,962.24
  5. Step 5: Solve for x
    x = 351,688,962.24/20,426.40
  6. Step 6: Final answer
    x = 17,217.37

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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.