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Finding the Fourth Proportional to 17,092.29, 23,588.64 and 9,538.93

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Solution

The fourth proportional to 17,092.29, 23,588.64 and 9,538.93 is: 13,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092.29 : 23,588.64 = 9,538.93 : x
  2. Step 2: Convert to fraction form
    17,092.29/23,588.64 = 9,538.93/x
  3. Step 3: Cross multiply
    17,092.29x = 23,588.64 × 9,538.93
  4. Step 4: Simplify right side
    17,092.29x = 225,010,385.76
  5. Step 5: Solve for x
    x = 225,010,385.76/17,092.29
  6. Step 6: Final answer
    x = 13,164.44

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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.