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Finding the Fourth Proportional to 12,933.09, 17,846.16 and 7,267.08

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Solution

The fourth proportional to 12,933.09, 17,846.16 and 7,267.08 is: 10,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.09 : 17,846.16 = 7,267.08 : x
  2. Step 2: Convert to fraction form
    12,933.09/17,846.16 = 7,267.08/x
  3. Step 3: Cross multiply
    12,933.09x = 17,846.16 × 7,267.08
  4. Step 4: Simplify right side
    12,933.09x = 129,689,472.41
  5. Step 5: Solve for x
    x = 129,689,472.41/12,933.09
  6. Step 6: Final answer
    x = 10,027.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.