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Finding the Fourth Proportional to 29,723.68, 41,018.34 and 17,148.16

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Solution

The fourth proportional to 29,723.68, 41,018.34 and 17,148.16 is: 23,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,723.68 : 41,018.34 = 17,148.16 : x
  2. Step 2: Convert to fraction form
    29,723.68/41,018.34 = 17,148.16/x
  3. Step 3: Cross multiply
    29,723.68x = 41,018.34 × 17,148.16
  4. Step 4: Simplify right side
    29,723.68x = 703,389,057.25
  5. Step 5: Solve for x
    x = 703,389,057.25/29,723.68
  6. Step 6: Final answer
    x = 23,664.27

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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.