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Finding the Fourth Proportional to 17,102.23, 23,602.12 and 9,548.55

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Solution

The fourth proportional to 17,102.23, 23,602.12 and 9,548.55 is: 13,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.23 : 23,602.12 = 9,548.55 : x
  2. Step 2: Convert to fraction form
    17,102.23/23,602.12 = 9,548.55/x
  3. Step 3: Cross multiply
    17,102.23x = 23,602.12 × 9,548.55
  4. Step 4: Simplify right side
    17,102.23x = 225,366,022.93
  5. Step 5: Solve for x
    x = 225,366,022.93/17,102.23
  6. Step 6: Final answer
    x = 13,177.58

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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.