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Finding the Fourth Proportional to 17,102.76, 23,601.59 and 9,549.22

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Solution

The fourth proportional to 17,102.76, 23,601.59 and 9,549.22 is: 13,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.76 : 23,601.59 = 9,549.22 : x
  2. Step 2: Convert to fraction form
    17,102.76/23,601.59 = 9,549.22/x
  3. Step 3: Cross multiply
    17,102.76x = 23,601.59 × 9,549.22
  4. Step 4: Simplify right side
    17,102.76x = 225,376,721.72
  5. Step 5: Solve for x
    x = 225,376,721.72/17,102.76
  6. Step 6: Final answer
    x = 13,177.80

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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.