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Finding the Fourth Proportional to 18,423.80, 27,635.70 and 9,207.80

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Solution

The fourth proportional to 18,423.80, 27,635.70 and 9,207.80 is: 13,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,423.80 : 27,635.70 = 9,207.80 : x
  2. Step 2: Convert to fraction form
    18,423.80/27,635.70 = 9,207.80/x
  3. Step 3: Cross multiply
    18,423.80x = 27,635.70 × 9,207.80
  4. Step 4: Simplify right side
    18,423.80x = 254,463,998.46
  5. Step 5: Solve for x
    x = 254,463,998.46/18,423.80
  6. Step 6: Final answer
    x = 13,811.70

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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.