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Finding the Fourth Proportional to 17,866.20, 24,642.50 and 11,809.41

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Solution

The fourth proportional to 17,866.20, 24,642.50 and 11,809.41 is: 16,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.20 : 24,642.50 = 11,809.41 : x
  2. Step 2: Convert to fraction form
    17,866.20/24,642.50 = 11,809.41/x
  3. Step 3: Cross multiply
    17,866.20x = 24,642.50 × 11,809.41
  4. Step 4: Simplify right side
    17,866.20x = 291,013,326.88
  5. Step 5: Solve for x
    x = 291,013,326.88/17,866.20
  6. Step 6: Final answer
    x = 16,288.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.