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Finding the Fourth Proportional to 13,810.85, 20,716.25 and 3,422.60

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Solution

The fourth proportional to 13,810.85, 20,716.25 and 3,422.60 is: 5,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.85 : 20,716.25 = 3,422.60 : x
  2. Step 2: Convert to fraction form
    13,810.85/20,716.25 = 3,422.60/x
  3. Step 3: Cross multiply
    13,810.85x = 20,716.25 × 3,422.60
  4. Step 4: Simplify right side
    13,810.85x = 70,903,437.25
  5. Step 5: Solve for x
    x = 70,903,437.25/13,810.85
  6. Step 6: Final answer
    x = 5,133.89

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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.