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Finding the Fourth Proportional to 34,165.20, 51,257.40 and 14,453.20

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Solution

The fourth proportional to 34,165.20, 51,257.40 and 14,453.20 is: 21,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165.20 : 51,257.40 = 14,453.20 : x
  2. Step 2: Convert to fraction form
    34,165.20/51,257.40 = 14,453.20/x
  3. Step 3: Cross multiply
    34,165.20x = 51,257.40 × 14,453.20
  4. Step 4: Simplify right side
    34,165.20x = 740,833,453.68
  5. Step 5: Solve for x
    x = 740,833,453.68/34,165.20
  6. Step 6: Final answer
    x = 21,683.86

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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.