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Finding the Fourth Proportional to 12,923.08, 17,832.36 and 7,257.06

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Solution

The fourth proportional to 12,923.08, 17,832.36 and 7,257.06 is: 10,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.08 : 17,832.36 = 7,257.06 : x
  2. Step 2: Convert to fraction form
    12,923.08/17,832.36 = 7,257.06/x
  3. Step 3: Cross multiply
    12,923.08x = 17,832.36 × 7,257.06
  4. Step 4: Simplify right side
    12,923.08x = 129,410,506.46
  5. Step 5: Solve for x
    x = 129,410,506.46/12,923.08
  6. Step 6: Final answer
    x = 10,013.91

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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.