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Finding the Fourth Proportional to 17,782.87, 26,665.74 and 8,415.13

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Solution

The fourth proportional to 17,782.87, 26,665.74 and 8,415.13 is: 12,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.87 : 26,665.74 = 8,415.13 : x
  2. Step 2: Convert to fraction form
    17,782.87/26,665.74 = 8,415.13/x
  3. Step 3: Cross multiply
    17,782.87x = 26,665.74 × 8,415.13
  4. Step 4: Simplify right side
    17,782.87x = 224,395,668.65
  5. Step 5: Solve for x
    x = 224,395,668.65/17,782.87
  6. Step 6: Final answer
    x = 12,618.64

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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.