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Finding the Fourth Proportional to 17,758.54, 24,499.32 and 12,456.82

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Solution

The fourth proportional to 17,758.54, 24,499.32 and 12,456.82 is: 17,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.54 : 24,499.32 = 12,456.82 : x
  2. Step 2: Convert to fraction form
    17,758.54/24,499.32 = 12,456.82/x
  3. Step 3: Cross multiply
    17,758.54x = 24,499.32 × 12,456.82
  4. Step 4: Simplify right side
    17,758.54x = 305,183,619.36
  5. Step 5: Solve for x
    x = 305,183,619.36/17,758.54
  6. Step 6: Final answer
    x = 17,185.18

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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.