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Finding the Fourth Proportional to 13,782.54, 20,661.21 and 5,015.52

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Solution

The fourth proportional to 13,782.54, 20,661.21 and 5,015.52 is: 7,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.54 : 20,661.21 = 5,015.52 : x
  2. Step 2: Convert to fraction form
    13,782.54/20,661.21 = 5,015.52/x
  3. Step 3: Cross multiply
    13,782.54x = 20,661.21 × 5,015.52
  4. Step 4: Simplify right side
    13,782.54x = 103,626,711.98
  5. Step 5: Solve for x
    x = 103,626,711.98/13,782.54
  6. Step 6: Final answer
    x = 7,518.69

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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.