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Finding the Fourth Proportional to 29,853.10, 41,203.17 and 17,114.84

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Solution

The fourth proportional to 29,853.10, 41,203.17 and 17,114.84 is: 23,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.10 : 41,203.17 = 17,114.84 : x
  2. Step 2: Convert to fraction form
    29,853.10/41,203.17 = 17,114.84/x
  3. Step 3: Cross multiply
    29,853.10x = 41,203.17 × 17,114.84
  4. Step 4: Simplify right side
    29,853.10x = 705,185,662.04
  5. Step 5: Solve for x
    x = 705,185,662.04/29,853.10
  6. Step 6: Final answer
    x = 23,621.86

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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.