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Finding the Fourth Proportional to 17,495.70, 24,143.34 and 9,537.75

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Solution

The fourth proportional to 17,495.70, 24,143.34 and 9,537.75 is: 13,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,495.70 : 24,143.34 = 9,537.75 : x
  2. Step 2: Convert to fraction form
    17,495.70/24,143.34 = 9,537.75/x
  3. Step 3: Cross multiply
    17,495.70x = 24,143.34 × 9,537.75
  4. Step 4: Simplify right side
    17,495.70x = 230,273,141.09
  5. Step 5: Solve for x
    x = 230,273,141.09/17,495.70
  6. Step 6: Final answer
    x = 13,161.70

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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.