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Finding the Fourth Proportional to 34,846.96, 52,267.56 and 11,475.76

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Solution

The fourth proportional to 34,846.96, 52,267.56 and 11,475.76 is: 17,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846.96 : 52,267.56 = 11,475.76 : x
  2. Step 2: Convert to fraction form
    34,846.96/52,267.56 = 11,475.76/x
  3. Step 3: Cross multiply
    34,846.96x = 52,267.56 × 11,475.76
  4. Step 4: Simplify right side
    34,846.96x = 599,809,974.35
  5. Step 5: Solve for x
    x = 599,809,974.35/34,846.96
  6. Step 6: Final answer
    x = 17,212.69

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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.