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Finding the Fourth Proportional to 17,301.66, 23,872.32 and 10,224.24

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Solution

The fourth proportional to 17,301.66, 23,872.32 and 10,224.24 is: 14,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.66 : 23,872.32 = 10,224.24 : x
  2. Step 2: Convert to fraction form
    17,301.66/23,872.32 = 10,224.24/x
  3. Step 3: Cross multiply
    17,301.66x = 23,872.32 × 10,224.24
  4. Step 4: Simplify right side
    17,301.66x = 244,076,329.04
  5. Step 5: Solve for x
    x = 244,076,329.04/17,301.66
  6. Step 6: Final answer
    x = 14,107.10

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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.