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Finding the Fourth Proportional to 17,419.39, 24,038.97 and 9,461.75

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Solution

The fourth proportional to 17,419.39, 24,038.97 and 9,461.75 is: 13,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.39 : 24,038.97 = 9,461.75 : x
  2. Step 2: Convert to fraction form
    17,419.39/24,038.97 = 9,461.75/x
  3. Step 3: Cross multiply
    17,419.39x = 24,038.97 × 9,461.75
  4. Step 4: Simplify right side
    17,419.39x = 227,450,604.20
  5. Step 5: Solve for x
    x = 227,450,604.20/17,419.39
  6. Step 6: Final answer
    x = 13,057.33

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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.