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Finding the Fourth Proportional to 13,832.39, 20,751.21 and 7,589.04

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Solution

The fourth proportional to 13,832.39, 20,751.21 and 7,589.04 is: 11,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.39 : 20,751.21 = 7,589.04 : x
  2. Step 2: Convert to fraction form
    13,832.39/20,751.21 = 7,589.04/x
  3. Step 3: Cross multiply
    13,832.39x = 20,751.21 × 7,589.04
  4. Step 4: Simplify right side
    13,832.39x = 157,481,762.74
  5. Step 5: Solve for x
    x = 157,481,762.74/13,832.39
  6. Step 6: Final answer
    x = 11,385.00

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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.