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Finding the Fourth Proportional to 13,576.41, 20,365.02 and 6,177.06

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Solution

The fourth proportional to 13,576.41, 20,365.02 and 6,177.06 is: 9,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.41 : 20,365.02 = 6,177.06 : x
  2. Step 2: Convert to fraction form
    13,576.41/20,365.02 = 6,177.06/x
  3. Step 3: Cross multiply
    13,576.41x = 20,365.02 × 6,177.06
  4. Step 4: Simplify right side
    13,576.41x = 125,795,950.44
  5. Step 5: Solve for x
    x = 125,795,950.44/13,576.41
  6. Step 6: Final answer
    x = 9,265.77

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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.