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Finding the Fourth Proportional to 13,739.40, 20,599.92 and 6,333.84

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Solution

The fourth proportional to 13,739.40, 20,599.92 and 6,333.84 is: 9,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.40 : 20,599.92 = 6,333.84 : x
  2. Step 2: Convert to fraction form
    13,739.40/20,599.92 = 6,333.84/x
  3. Step 3: Cross multiply
    13,739.40x = 20,599.92 × 6,333.84
  4. Step 4: Simplify right side
    13,739.40x = 130,476,597.29
  5. Step 5: Solve for x
    x = 130,476,597.29/13,739.40
  6. Step 6: Final answer
    x = 9,496.53

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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.