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Finding the Fourth Proportional to 17,202.16, 23,738.16 and 9,647.56

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Solution

The fourth proportional to 17,202.16, 23,738.16 and 9,647.56 is: 13,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.16 : 23,738.16 = 9,647.56 : x
  2. Step 2: Convert to fraction form
    17,202.16/23,738.16 = 9,647.56/x
  3. Step 3: Cross multiply
    17,202.16x = 23,738.16 × 9,647.56
  4. Step 4: Simplify right side
    17,202.16x = 229,015,322.89
  5. Step 5: Solve for x
    x = 229,015,322.89/17,202.16
  6. Step 6: Final answer
    x = 13,313.17

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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.