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Finding the Fourth Proportional to 13,564.65, 20,315.39 and 13,190.96

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Solution

The fourth proportional to 13,564.65, 20,315.39 and 13,190.96 is: 19,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.65 : 20,315.39 = 13,190.96 : x
  2. Step 2: Convert to fraction form
    13,564.65/20,315.39 = 13,190.96/x
  3. Step 3: Cross multiply
    13,564.65x = 20,315.39 × 13,190.96
  4. Step 4: Simplify right side
    13,564.65x = 267,979,329.34
  5. Step 5: Solve for x
    x = 267,979,329.34/13,564.65
  6. Step 6: Final answer
    x = 19,755.71

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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.