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Finding the Fourth Proportional to 17,286.57, 23,854.23 and 9,732.51

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Solution

The fourth proportional to 17,286.57, 23,854.23 and 9,732.51 is: 13,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.57 : 23,854.23 = 9,732.51 : x
  2. Step 2: Convert to fraction form
    17,286.57/23,854.23 = 9,732.51/x
  3. Step 3: Cross multiply
    17,286.57x = 23,854.23 × 9,732.51
  4. Step 4: Simplify right side
    17,286.57x = 232,161,532.02
  5. Step 5: Solve for x
    x = 232,161,532.02/17,286.57
  6. Step 6: Final answer
    x = 13,430.17

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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.