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Finding the Fourth Proportional to 12,409.72, 17,129.82 and 8,219.32

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Solution

The fourth proportional to 12,409.72, 17,129.82 and 8,219.32 is: 11,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.72 : 17,129.82 = 8,219.32 : x
  2. Step 2: Convert to fraction form
    12,409.72/17,129.82 = 8,219.32/x
  3. Step 3: Cross multiply
    12,409.72x = 17,129.82 × 8,219.32
  4. Step 4: Simplify right side
    12,409.72x = 140,795,472.12
  5. Step 5: Solve for x
    x = 140,795,472.12/12,409.72
  6. Step 6: Final answer
    x = 11,345.58

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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.