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Finding the Fourth Proportional to 13,723.84, 20,589.18 and 6,333.45

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Solution

The fourth proportional to 13,723.84, 20,589.18 and 6,333.45 is: 9,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.84 : 20,589.18 = 6,333.45 : x
  2. Step 2: Convert to fraction form
    13,723.84/20,589.18 = 6,333.45/x
  3. Step 3: Cross multiply
    13,723.84x = 20,589.18 × 6,333.45
  4. Step 4: Simplify right side
    13,723.84x = 130,400,542.07
  5. Step 5: Solve for x
    x = 130,400,542.07/13,723.84
  6. Step 6: Final answer
    x = 9,501.75

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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.