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Finding the Fourth Proportional to 13,231.64, 19,841.69 and 3,871.46

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Solution

The fourth proportional to 13,231.64, 19,841.69 and 3,871.46 is: 5,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.64 : 19,841.69 = 3,871.46 : x
  2. Step 2: Convert to fraction form
    13,231.64/19,841.69 = 3,871.46/x
  3. Step 3: Cross multiply
    13,231.64x = 19,841.69 × 3,871.46
  4. Step 4: Simplify right side
    13,231.64x = 76,816,368.45
  5. Step 5: Solve for x
    x = 76,816,368.45/13,231.64
  6. Step 6: Final answer
    x = 5,805.51

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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.