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Finding the Fourth Proportional to 13,597.70, 18,729.87 and 9,611.96

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Solution

The fourth proportional to 13,597.70, 18,729.87 and 9,611.96 is: 13,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.70 : 18,729.87 = 9,611.96 : x
  2. Step 2: Convert to fraction form
    13,597.70/18,729.87 = 9,611.96/x
  3. Step 3: Cross multiply
    13,597.70x = 18,729.87 × 9,611.96
  4. Step 4: Simplify right side
    13,597.70x = 180,030,784.04
  5. Step 5: Solve for x
    x = 180,030,784.04/13,597.70
  6. Step 6: Final answer
    x = 13,239.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.