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Finding the Fourth Proportional to 18,946.89, 28,420.47 and 8,414.07

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Solution

The fourth proportional to 18,946.89, 28,420.47 and 8,414.07 is: 12,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946.89 : 28,420.47 = 8,414.07 : x
  2. Step 2: Convert to fraction form
    18,946.89/28,420.47 = 8,414.07/x
  3. Step 3: Cross multiply
    18,946.89x = 28,420.47 × 8,414.07
  4. Step 4: Simplify right side
    18,946.89x = 239,131,824.01
  5. Step 5: Solve for x
    x = 239,131,824.01/18,946.89
  6. Step 6: Final answer
    x = 12,621.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.