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Finding the Fourth Proportional to 29,685.34, 40,969.56 and 17,110.18

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Solution

The fourth proportional to 29,685.34, 40,969.56 and 17,110.18 is: 23,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.34 : 40,969.56 = 17,110.18 : x
  2. Step 2: Convert to fraction form
    29,685.34/40,969.56 = 17,110.18/x
  3. Step 3: Cross multiply
    29,685.34x = 40,969.56 × 17,110.18
  4. Step 4: Simplify right side
    29,685.34x = 700,996,546.12
  5. Step 5: Solve for x
    x = 700,996,546.12/29,685.34
  6. Step 6: Final answer
    x = 23,614.23

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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.