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Finding the Fourth Proportional to 17,761.81, 24,511.17 and 9,804.03

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Solution

The fourth proportional to 17,761.81, 24,511.17 and 9,804.03 is: 13,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.81 : 24,511.17 = 9,804.03 : x
  2. Step 2: Convert to fraction form
    17,761.81/24,511.17 = 9,804.03/x
  3. Step 3: Cross multiply
    17,761.81x = 24,511.17 × 9,804.03
  4. Step 4: Simplify right side
    17,761.81x = 240,308,246.02
  5. Step 5: Solve for x
    x = 240,308,246.02/17,761.81
  6. Step 6: Final answer
    x = 13,529.49

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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.