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Finding the Fourth Proportional to 26,879.83, 40,320.30 and 9,782.13

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Solution

The fourth proportional to 26,879.83, 40,320.30 and 9,782.13 is: 14,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,879.83 : 40,320.30 = 9,782.13 : x
  2. Step 2: Convert to fraction form
    26,879.83/40,320.30 = 9,782.13/x
  3. Step 3: Cross multiply
    26,879.83x = 40,320.30 × 9,782.13
  4. Step 4: Simplify right side
    26,879.83x = 394,418,416.24
  5. Step 5: Solve for x
    x = 394,418,416.24/26,879.83
  6. Step 6: Final answer
    x = 14,673.40

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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.