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Finding the Fourth Proportional to 17,193.31, 23,670.09 and 14,954

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Solution

The fourth proportional to 17,193.31, 23,670.09 and 14,954 is: 20,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193.31 : 23,670.09 = 14,954 : x
  2. Step 2: Convert to fraction form
    17,193.31/23,670.09 = 14,954/x
  3. Step 3: Cross multiply
    17,193.31x = 23,670.09 × 14,954
  4. Step 4: Simplify right side
    17,193.31x = 353,962,525.86
  5. Step 5: Solve for x
    x = 353,962,525.86/17,193.31
  6. Step 6: Final answer
    x = 20,587.22

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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.