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Finding the Fourth Proportional to 17,411.37, 24,028.23 and 9,857.57

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Solution

The fourth proportional to 17,411.37, 24,028.23 and 9,857.57 is: 13,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.37 : 24,028.23 = 9,857.57 : x
  2. Step 2: Convert to fraction form
    17,411.37/24,028.23 = 9,857.57/x
  3. Step 3: Cross multiply
    17,411.37x = 24,028.23 × 9,857.57
  4. Step 4: Simplify right side
    17,411.37x = 236,859,876.03
  5. Step 5: Solve for x
    x = 236,859,876.03/17,411.37
  6. Step 6: Final answer
    x = 13,603.75

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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.