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Finding the Fourth Proportional to 17,310.50, 23,887.82 and 9,758.37

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Solution

The fourth proportional to 17,310.50, 23,887.82 and 9,758.37 is: 13,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310.50 : 23,887.82 = 9,758.37 : x
  2. Step 2: Convert to fraction form
    17,310.50/23,887.82 = 9,758.37/x
  3. Step 3: Cross multiply
    17,310.50x = 23,887.82 × 9,758.37
  4. Step 4: Simplify right side
    17,310.50x = 233,106,047.68
  5. Step 5: Solve for x
    x = 233,106,047.68/17,310.50
  6. Step 6: Final answer
    x = 13,466.16

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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.