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Finding the Fourth Proportional to 17,761.83, 24,511.33 and 9,804.06

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Solution

The fourth proportional to 17,761.83, 24,511.33 and 9,804.06 is: 13,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.83 : 24,511.33 = 9,804.06 : x
  2. Step 2: Convert to fraction form
    17,761.83/24,511.33 = 9,804.06/x
  3. Step 3: Cross multiply
    17,761.83x = 24,511.33 × 9,804.06
  4. Step 4: Simplify right side
    17,761.83x = 240,310,531.62
  5. Step 5: Solve for x
    x = 240,310,531.62/17,761.83
  6. Step 6: Final answer
    x = 13,529.60

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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.