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Finding the Fourth Proportional to 26,574.80, 39,785.40 and 16,206.80

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Solution

The fourth proportional to 26,574.80, 39,785.40 and 16,206.80 is: 24,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,574.80 : 39,785.40 = 16,206.80 : x
  2. Step 2: Convert to fraction form
    26,574.80/39,785.40 = 16,206.80/x
  3. Step 3: Cross multiply
    26,574.80x = 39,785.40 × 16,206.80
  4. Step 4: Simplify right side
    26,574.80x = 644,794,020.72
  5. Step 5: Solve for x
    x = 644,794,020.72/26,574.80
  6. Step 6: Final answer
    x = 24,263.36

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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.