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Finding the Fourth Proportional to 26,814.40, 40,201.76 and 16,282.24

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Solution

The fourth proportional to 26,814.40, 40,201.76 and 16,282.24 is: 24,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,814.40 : 40,201.76 = 16,282.24 : x
  2. Step 2: Convert to fraction form
    26,814.40/40,201.76 = 16,282.24/x
  3. Step 3: Cross multiply
    26,814.40x = 40,201.76 × 16,282.24
  4. Step 4: Simplify right side
    26,814.40x = 654,574,704.74
  5. Step 5: Solve for x
    x = 654,574,704.74/26,814.40
  6. Step 6: Final answer
    x = 24,411.31

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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.