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Finding the Fourth Proportional to 13,782.36, 20,679 and 5,017.96

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Solution

The fourth proportional to 13,782.36, 20,679 and 5,017.96 is: 7,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.36 : 20,679 = 5,017.96 : x
  2. Step 2: Convert to fraction form
    13,782.36/20,679 = 5,017.96/x
  3. Step 3: Cross multiply
    13,782.36x = 20,679 × 5,017.96
  4. Step 4: Simplify right side
    13,782.36x = 103,766,394.84
  5. Step 5: Solve for x
    x = 103,766,394.84/13,782.36
  6. Step 6: Final answer
    x = 7,528.93

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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.