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Finding the Fourth Proportional to 17,767.23, 24,511.05 and 11,382.41

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Solution

The fourth proportional to 17,767.23, 24,511.05 and 11,382.41 is: 15,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.23 : 24,511.05 = 11,382.41 : x
  2. Step 2: Convert to fraction form
    17,767.23/24,511.05 = 11,382.41/x
  3. Step 3: Cross multiply
    17,767.23x = 24,511.05 × 11,382.41
  4. Step 4: Simplify right side
    17,767.23x = 278,994,820.63
  5. Step 5: Solve for x
    x = 278,994,820.63/17,767.23
  6. Step 6: Final answer
    x = 15,702.78

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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.