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Finding the Fourth Proportional to 12,832.56, 17,702.34 and 7,523.82

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Solution

The fourth proportional to 12,832.56, 17,702.34 and 7,523.82 is: 10,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.56 : 17,702.34 = 7,523.82 : x
  2. Step 2: Convert to fraction form
    12,832.56/17,702.34 = 7,523.82/x
  3. Step 3: Cross multiply
    12,832.56x = 17,702.34 × 7,523.82
  4. Step 4: Simplify right side
    12,832.56x = 133,189,219.74
  5. Step 5: Solve for x
    x = 133,189,219.74/12,832.56
  6. Step 6: Final answer
    x = 10,379.01

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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.