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Finding the Fourth Proportional to 13,191.50, 18,204.34 and 9,837.29

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Solution

The fourth proportional to 13,191.50, 18,204.34 and 9,837.29 is: 13,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.50 : 18,204.34 = 9,837.29 : x
  2. Step 2: Convert to fraction form
    13,191.50/18,204.34 = 9,837.29/x
  3. Step 3: Cross multiply
    13,191.50x = 18,204.34 × 9,837.29
  4. Step 4: Simplify right side
    13,191.50x = 179,081,371.84
  5. Step 5: Solve for x
    x = 179,081,371.84/13,191.50
  6. Step 6: Final answer
    x = 13,575.51

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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.