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Finding the Fourth Proportional to 34,143.26, 51,214.80 and 9,183.30

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Solution

The fourth proportional to 34,143.26, 51,214.80 and 9,183.30 is: 13,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,143.26 : 51,214.80 = 9,183.30 : x
  2. Step 2: Convert to fraction form
    34,143.26/51,214.80 = 9,183.30/x
  3. Step 3: Cross multiply
    34,143.26x = 51,214.80 × 9,183.30
  4. Step 4: Simplify right side
    34,143.26x = 470,320,872.84
  5. Step 5: Solve for x
    x = 470,320,872.84/34,143.26
  6. Step 6: Final answer
    x = 13,774.93

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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.