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Finding the Fourth Proportional to 13,829.52, 20,754 and 6,040.56

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Solution

The fourth proportional to 13,829.52, 20,754 and 6,040.56 is: 9,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.52 : 20,754 = 6,040.56 : x
  2. Step 2: Convert to fraction form
    13,829.52/20,754 = 6,040.56/x
  3. Step 3: Cross multiply
    13,829.52x = 20,754 × 6,040.56
  4. Step 4: Simplify right side
    13,829.52x = 125,365,782.24
  5. Step 5: Solve for x
    x = 125,365,782.24/13,829.52
  6. Step 6: Final answer
    x = 9,065.09

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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.