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Finding the Fourth Proportional to 17,419.82, 24,039.46 and 9,462.06

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Solution

The fourth proportional to 17,419.82, 24,039.46 and 9,462.06 is: 13,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.82 : 24,039.46 = 9,462.06 : x
  2. Step 2: Convert to fraction form
    17,419.82/24,039.46 = 9,462.06/x
  3. Step 3: Cross multiply
    17,419.82x = 24,039.46 × 9,462.06
  4. Step 4: Simplify right side
    17,419.82x = 227,462,812.89
  5. Step 5: Solve for x
    x = 227,462,812.89/17,419.82
  6. Step 6: Final answer
    x = 13,057.70

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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.