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Finding the Fourth Proportional to 17,414.97, 24,032.96 and 9,457.20

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Solution

The fourth proportional to 17,414.97, 24,032.96 and 9,457.20 is: 13,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.97 : 24,032.96 = 9,457.20 : x
  2. Step 2: Convert to fraction form
    17,414.97/24,032.96 = 9,457.20/x
  3. Step 3: Cross multiply
    17,414.97x = 24,032.96 × 9,457.20
  4. Step 4: Simplify right side
    17,414.97x = 227,284,384.84
  5. Step 5: Solve for x
    x = 227,284,384.84/17,414.97
  6. Step 6: Final answer
    x = 13,051.09

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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.