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Finding the Fourth Proportional to 18,817.40, 28,234.20 and 9,583.40

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Solution

The fourth proportional to 18,817.40, 28,234.20 and 9,583.40 is: 14,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,817.40 : 28,234.20 = 9,583.40 : x
  2. Step 2: Convert to fraction form
    18,817.40/28,234.20 = 9,583.40/x
  3. Step 3: Cross multiply
    18,817.40x = 28,234.20 × 9,583.40
  4. Step 4: Simplify right side
    18,817.40x = 270,579,632.28
  5. Step 5: Solve for x
    x = 270,579,632.28/18,817.40
  6. Step 6: Final answer
    x = 14,379.23

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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.