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Finding the Fourth Proportional to 17,013.84, 23,475.24 and 9,941.28

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Solution

The fourth proportional to 17,013.84, 23,475.24 and 9,941.28 is: 13,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013.84 : 23,475.24 = 9,941.28 : x
  2. Step 2: Convert to fraction form
    17,013.84/23,475.24 = 9,941.28/x
  3. Step 3: Cross multiply
    17,013.84x = 23,475.24 × 9,941.28
  4. Step 4: Simplify right side
    17,013.84x = 233,373,933.91
  5. Step 5: Solve for x
    x = 233,373,933.91/17,013.84
  6. Step 6: Final answer
    x = 13,716.71

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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.