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Finding the Fourth Proportional to 13,033.01, 17,971.29 and 9,682.04

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Solution

The fourth proportional to 13,033.01, 17,971.29 and 9,682.04 is: 13,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.01 : 17,971.29 = 9,682.04 : x
  2. Step 2: Convert to fraction form
    13,033.01/17,971.29 = 9,682.04/x
  3. Step 3: Cross multiply
    13,033.01x = 17,971.29 × 9,682.04
  4. Step 4: Simplify right side
    13,033.01x = 173,998,748.63
  5. Step 5: Solve for x
    x = 173,998,748.63/13,033.01
  6. Step 6: Final answer
    x = 13,350.62

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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.