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Finding the Fourth Proportional to 13,761.94, 20,642.29 and 9,589.63

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Solution

The fourth proportional to 13,761.94, 20,642.29 and 9,589.63 is: 14,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.94 : 20,642.29 = 9,589.63 : x
  2. Step 2: Convert to fraction form
    13,761.94/20,642.29 = 9,589.63/x
  3. Step 3: Cross multiply
    13,761.94x = 20,642.29 × 9,589.63
  4. Step 4: Simplify right side
    13,761.94x = 197,951,923.45
  5. Step 5: Solve for x
    x = 197,951,923.45/13,761.94
  6. Step 6: Final answer
    x = 14,384.01

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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.