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Finding the Fourth Proportional to 17,419.91, 24,039.38 and 9,462.14

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Solution

The fourth proportional to 17,419.91, 24,039.38 and 9,462.14 is: 13,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.91 : 24,039.38 = 9,462.14 : x
  2. Step 2: Convert to fraction form
    17,419.91/24,039.38 = 9,462.14/x
  3. Step 3: Cross multiply
    17,419.91x = 24,039.38 × 9,462.14
  4. Step 4: Simplify right side
    17,419.91x = 227,463,811.57
  5. Step 5: Solve for x
    x = 227,463,811.57/17,419.91
  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.