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Finding the Fourth Proportional to 13,770.34, 20,655.33 and 3,382

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Solution

The fourth proportional to 13,770.34, 20,655.33 and 3,382 is: 5,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.34 : 20,655.33 = 3,382 : x
  2. Step 2: Convert to fraction form
    13,770.34/20,655.33 = 3,382/x
  3. Step 3: Cross multiply
    13,770.34x = 20,655.33 × 3,382
  4. Step 4: Simplify right side
    13,770.34x = 69,856,326.06
  5. Step 5: Solve for x
    x = 69,856,326.06/13,770.34
  6. Step 6: Final answer
    x = 5,072.96

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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.