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Finding the Fourth Proportional to 34,344.36, 51,501.70 and 11,857.41

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Solution

The fourth proportional to 34,344.36, 51,501.70 and 11,857.41 is: 17,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,344.36 : 51,501.70 = 11,857.41 : x
  2. Step 2: Convert to fraction form
    34,344.36/51,501.70 = 11,857.41/x
  3. Step 3: Cross multiply
    34,344.36x = 51,501.70 × 11,857.41
  4. Step 4: Simplify right side
    34,344.36x = 610,676,913.85
  5. Step 5: Solve for x
    x = 610,676,913.85/34,344.36
  6. Step 6: Final answer
    x = 17,780.99

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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.