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Finding the Fourth Proportional to 14,135.71, 21,171.28 and 6,745.36

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Solution

The fourth proportional to 14,135.71, 21,171.28 and 6,745.36 is: 10,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.71 : 21,171.28 = 6,745.36 : x
  2. Step 2: Convert to fraction form
    14,135.71/21,171.28 = 6,745.36/x
  3. Step 3: Cross multiply
    14,135.71x = 21,171.28 × 6,745.36
  4. Step 4: Simplify right side
    14,135.71x = 142,807,916.36
  5. Step 5: Solve for x
    x = 142,807,916.36/14,135.71
  6. Step 6: Final answer
    x = 10,102.63

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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.