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Finding the Fourth Proportional to 17,517.61, 24,174.30 and 9,559.83

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Solution

The fourth proportional to 17,517.61, 24,174.30 and 9,559.83 is: 13,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517.61 : 24,174.30 = 9,559.83 : x
  2. Step 2: Convert to fraction form
    17,517.61/24,174.30 = 9,559.83/x
  3. Step 3: Cross multiply
    17,517.61x = 24,174.30 × 9,559.83
  4. Step 4: Simplify right side
    17,517.61x = 231,102,264.81
  5. Step 5: Solve for x
    x = 231,102,264.81/17,517.61
  6. Step 6: Final answer
    x = 13,192.57

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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.