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Finding the Fourth Proportional to 29,564.36, 40,799.16 and 17,634.48

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Solution

The fourth proportional to 29,564.36, 40,799.16 and 17,634.48 is: 24,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564.36 : 40,799.16 = 17,634.48 : x
  2. Step 2: Convert to fraction form
    29,564.36/40,799.16 = 17,634.48/x
  3. Step 3: Cross multiply
    29,564.36x = 40,799.16 × 17,634.48
  4. Step 4: Simplify right side
    29,564.36x = 719,471,971.04
  5. Step 5: Solve for x
    x = 719,471,971.04/29,564.36
  6. Step 6: Final answer
    x = 24,335.79

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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.