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Finding the Fourth Proportional to 13,576.66, 20,368.18 and 4,216.20

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Solution

The fourth proportional to 13,576.66, 20,368.18 and 4,216.20 is: 6,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.66 : 20,368.18 = 4,216.20 : x
  2. Step 2: Convert to fraction form
    13,576.66/20,368.18 = 4,216.20/x
  3. Step 3: Cross multiply
    13,576.66x = 20,368.18 × 4,216.20
  4. Step 4: Simplify right side
    13,576.66x = 85,876,197.59
  5. Step 5: Solve for x
    x = 85,876,197.59/13,576.66
  6. Step 6: Final answer
    x = 6,325.28

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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.