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Finding the Fourth Proportional to 18,300.20, 27,428.70 and 16,442.60

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Solution

The fourth proportional to 18,300.20, 27,428.70 and 16,442.60 is: 24,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,300.20 : 27,428.70 = 16,442.60 : x
  2. Step 2: Convert to fraction form
    18,300.20/27,428.70 = 16,442.60/x
  3. Step 3: Cross multiply
    18,300.20x = 27,428.70 × 16,442.60
  4. Step 4: Simplify right side
    18,300.20x = 450,999,142.62
  5. Step 5: Solve for x
    x = 450,999,142.62/18,300.20
  6. Step 6: Final answer
    x = 24,644.49

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Why These Related Problems?

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