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Finding the Fourth Proportional to 13,710.68, 20,564.46 and 3,850.34

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Solution

The fourth proportional to 13,710.68, 20,564.46 and 3,850.34 is: 5,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.68 : 20,564.46 = 3,850.34 : x
  2. Step 2: Convert to fraction form
    13,710.68/20,564.46 = 3,850.34/x
  3. Step 3: Cross multiply
    13,710.68x = 20,564.46 × 3,850.34
  4. Step 4: Simplify right side
    13,710.68x = 79,180,162.92
  5. Step 5: Solve for x
    x = 79,180,162.92/13,710.68
  6. Step 6: Final answer
    x = 5,775.07

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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.