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Finding the Fourth Proportional to 17,191.80, 23,726.36 and 9,638.14

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Solution

The fourth proportional to 17,191.80, 23,726.36 and 9,638.14 is: 13,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,191.80 : 23,726.36 = 9,638.14 : x
  2. Step 2: Convert to fraction form
    17,191.80/23,726.36 = 9,638.14/x
  3. Step 3: Cross multiply
    17,191.80x = 23,726.36 × 9,638.14
  4. Step 4: Simplify right side
    17,191.80x = 228,677,979.37
  5. Step 5: Solve for x
    x = 228,677,979.37/17,191.80
  6. Step 6: Final answer
    x = 13,301.57

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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.