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Finding the Fourth Proportional to 34,389.50, 51,588.83 and 13,608.14

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Solution

The fourth proportional to 34,389.50, 51,588.83 and 13,608.14 is: 20,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,389.50 : 51,588.83 = 13,608.14 : x
  2. Step 2: Convert to fraction form
    34,389.50/51,588.83 = 13,608.14/x
  3. Step 3: Cross multiply
    34,389.50x = 51,588.83 × 13,608.14
  4. Step 4: Simplify right side
    34,389.50x = 702,028,021.08
  5. Step 5: Solve for x
    x = 702,028,021.08/34,389.50
  6. Step 6: Final answer
    x = 20,414.02

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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.