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Finding the Fourth Proportional to 20,492.27, 28,280.64 and 12,426.70

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Solution

The fourth proportional to 20,492.27, 28,280.64 and 12,426.70 is: 17,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.27 : 28,280.64 = 12,426.70 : x
  2. Step 2: Convert to fraction form
    20,492.27/28,280.64 = 12,426.70/x
  3. Step 3: Cross multiply
    20,492.27x = 28,280.64 × 12,426.70
  4. Step 4: Simplify right side
    20,492.27x = 351,434,825.55
  5. Step 5: Solve for x
    x = 351,434,825.55/20,492.27
  6. Step 6: Final answer
    x = 17,149.63

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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.