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Finding the Fourth Proportional to 17,761.67, 24,511 and 9,804.36

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Solution

The fourth proportional to 17,761.67, 24,511 and 9,804.36 is: 13,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.67 : 24,511 = 9,804.36 : x
  2. Step 2: Convert to fraction form
    17,761.67/24,511 = 9,804.36/x
  3. Step 3: Cross multiply
    17,761.67x = 24,511 × 9,804.36
  4. Step 4: Simplify right side
    17,761.67x = 240,314,667.96
  5. Step 5: Solve for x
    x = 240,314,667.96/17,761.67
  6. Step 6: Final answer
    x = 13,529.96

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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.