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Finding the Fourth Proportional to 34,204.51, 51,311.88 and 12,013.99

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Solution

The fourth proportional to 34,204.51, 51,311.88 and 12,013.99 is: 18,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.51 : 51,311.88 = 12,013.99 : x
  2. Step 2: Convert to fraction form
    34,204.51/51,311.88 = 12,013.99/x
  3. Step 3: Cross multiply
    34,204.51x = 51,311.88 × 12,013.99
  4. Step 4: Simplify right side
    34,204.51x = 616,460,284.92
  5. Step 5: Solve for x
    x = 616,460,284.92/34,204.51
  6. Step 6: Final answer
    x = 18,022.78

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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.