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Finding the Fourth Proportional to 17,102.93, 23,601.98 and 9,549.20

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Solution

The fourth proportional to 17,102.93, 23,601.98 and 9,549.20 is: 13,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.93 : 23,601.98 = 9,549.20 : x
  2. Step 2: Convert to fraction form
    17,102.93/23,601.98 = 9,549.20/x
  3. Step 3: Cross multiply
    17,102.93x = 23,601.98 × 9,549.20
  4. Step 4: Simplify right side
    17,102.93x = 225,379,861.66
  5. Step 5: Solve for x
    x = 225,379,861.66/17,102.93
  6. Step 6: Final answer
    x = 13,177.85

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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.