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Finding the Fourth Proportional to 17,015.82, 23,483.14 and 9,462.76

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Solution

The fourth proportional to 17,015.82, 23,483.14 and 9,462.76 is: 13,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,015.82 : 23,483.14 = 9,462.76 : x
  2. Step 2: Convert to fraction form
    17,015.82/23,483.14 = 9,462.76/x
  3. Step 3: Cross multiply
    17,015.82x = 23,483.14 × 9,462.76
  4. Step 4: Simplify right side
    17,015.82x = 222,215,317.87
  5. Step 5: Solve for x
    x = 222,215,317.87/17,015.82
  6. Step 6: Final answer
    x = 13,059.34

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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.