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Finding the Fourth Proportional to 17,580.82, 26,382.17 and 12,828.65

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Solution

The fourth proportional to 17,580.82, 26,382.17 and 12,828.65 is: 19,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.82 : 26,382.17 = 12,828.65 : x
  2. Step 2: Convert to fraction form
    17,580.82/26,382.17 = 12,828.65/x
  3. Step 3: Cross multiply
    17,580.82x = 26,382.17 × 12,828.65
  4. Step 4: Simplify right side
    17,580.82x = 338,447,601.57
  5. Step 5: Solve for x
    x = 338,447,601.57/17,580.82
  6. Step 6: Final answer
    x = 19,250.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.