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Finding the Fourth Proportional to 17,184.56, 23,713.80 and 10,114.88

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Solution

The fourth proportional to 17,184.56, 23,713.80 and 10,114.88 is: 13,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.56 : 23,713.80 = 10,114.88 : x
  2. Step 2: Convert to fraction form
    17,184.56/23,713.80 = 10,114.88/x
  3. Step 3: Cross multiply
    17,184.56x = 23,713.80 × 10,114.88
  4. Step 4: Simplify right side
    17,184.56x = 239,862,241.34
  5. Step 5: Solve for x
    x = 239,862,241.34/17,184.56
  6. Step 6: Final answer
    x = 13,958.01

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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.