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Finding the Fourth Proportional to 18,274.20, 27,389.70 and 16,416.60

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Solution

The fourth proportional to 18,274.20, 27,389.70 and 16,416.60 is: 24,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.20 : 27,389.70 = 16,416.60 : x
  2. Step 2: Convert to fraction form
    18,274.20/27,389.70 = 16,416.60/x
  3. Step 3: Cross multiply
    18,274.20x = 27,389.70 × 16,416.60
  4. Step 4: Simplify right side
    18,274.20x = 449,645,749.02
  5. Step 5: Solve for x
    x = 449,645,749.02/18,274.20
  6. Step 6: Final answer
    x = 24,605.50

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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.