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Finding the Fourth Proportional to 14,563.20, 21,825.90 and 6,755.40

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Solution

The fourth proportional to 14,563.20, 21,825.90 and 6,755.40 is: 10,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.20 : 21,825.90 = 6,755.40 : x
  2. Step 2: Convert to fraction form
    14,563.20/21,825.90 = 6,755.40/x
  3. Step 3: Cross multiply
    14,563.20x = 21,825.90 × 6,755.40
  4. Step 4: Simplify right side
    14,563.20x = 147,442,684.86
  5. Step 5: Solve for x
    x = 147,442,684.86/14,563.20
  6. Step 6: Final answer
    x = 10,124.33

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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.