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Finding the Fourth Proportional to 17,202.80, 23,742.06 and 10,129.88

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Solution

The fourth proportional to 17,202.80, 23,742.06 and 10,129.88 is: 13,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.80 : 23,742.06 = 10,129.88 : x
  2. Step 2: Convert to fraction form
    17,202.80/23,742.06 = 10,129.88/x
  3. Step 3: Cross multiply
    17,202.80x = 23,742.06 × 10,129.88
  4. Step 4: Simplify right side
    17,202.80x = 240,504,218.75
  5. Step 5: Solve for x
    x = 240,504,218.75/17,202.80
  6. Step 6: Final answer
    x = 13,980.53

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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.