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Finding the Fourth Proportional to 26,883.48, 40,320.67 and 8,159

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Solution

The fourth proportional to 26,883.48, 40,320.67 and 8,159 is: 12,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,883.48 : 40,320.67 = 8,159 : x
  2. Step 2: Convert to fraction form
    26,883.48/40,320.67 = 8,159/x
  3. Step 3: Cross multiply
    26,883.48x = 40,320.67 × 8,159
  4. Step 4: Simplify right side
    26,883.48x = 328,976,346.53
  5. Step 5: Solve for x
    x = 328,976,346.53/26,883.48
  6. Step 6: Final answer
    x = 12,237.12

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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.