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Finding the Fourth Proportional to 26,782.76, 40,176.30 and 9,252.74

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Solution

The fourth proportional to 26,782.76, 40,176.30 and 9,252.74 is: 13,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.76 : 40,176.30 = 9,252.74 : x
  2. Step 2: Convert to fraction form
    26,782.76/40,176.30 = 9,252.74/x
  3. Step 3: Cross multiply
    26,782.76x = 40,176.30 × 9,252.74
  4. Step 4: Simplify right side
    26,782.76x = 371,740,858.06
  5. Step 5: Solve for x
    x = 371,740,858.06/26,782.76
  6. Step 6: Final answer
    x = 13,879.86

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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.