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Finding the Fourth Proportional to 17,381.75, 23,999.96 and 10,676.57

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Solution

The fourth proportional to 17,381.75, 23,999.96 and 10,676.57 is: 14,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.75 : 23,999.96 = 10,676.57 : x
  2. Step 2: Convert to fraction form
    17,381.75/23,999.96 = 10,676.57/x
  3. Step 3: Cross multiply
    17,381.75x = 23,999.96 × 10,676.57
  4. Step 4: Simplify right side
    17,381.75x = 256,237,159.63
  5. Step 5: Solve for x
    x = 256,237,159.63/17,381.75
  6. Step 6: Final answer
    x = 14,741.74

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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.