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Finding the Fourth Proportional to 13,576.85, 20,368.46 and 4,216.38

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Solution

The fourth proportional to 13,576.85, 20,368.46 and 4,216.38 is: 6,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.85 : 20,368.46 = 4,216.38 : x
  2. Step 2: Convert to fraction form
    13,576.85/20,368.46 = 4,216.38/x
  3. Step 3: Cross multiply
    13,576.85x = 20,368.46 × 4,216.38
  4. Step 4: Simplify right side
    13,576.85x = 85,881,146.29
  5. Step 5: Solve for x
    x = 85,881,146.29/13,576.85
  6. Step 6: Final answer
    x = 6,325.56

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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.