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Finding the Fourth Proportional to 13,782.37, 20,673.48 and 5,017.29

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Solution

The fourth proportional to 13,782.37, 20,673.48 and 5,017.29 is: 7,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.37 : 20,673.48 = 5,017.29 : x
  2. Step 2: Convert to fraction form
    13,782.37/20,673.48 = 5,017.29/x
  3. Step 3: Cross multiply
    13,782.37x = 20,673.48 × 5,017.29
  4. Step 4: Simplify right side
    13,782.37x = 103,724,844.47
  5. Step 5: Solve for x
    x = 103,724,844.47/13,782.37
  6. Step 6: Final answer
    x = 7,525.91

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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.