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Finding the Fourth Proportional to 17,205.68, 23,740.97 and 10,133.51

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Solution

The fourth proportional to 17,205.68, 23,740.97 and 10,133.51 is: 13,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.68 : 23,740.97 = 10,133.51 : x
  2. Step 2: Convert to fraction form
    17,205.68/23,740.97 = 10,133.51/x
  3. Step 3: Cross multiply
    17,205.68x = 23,740.97 × 10,133.51
  4. Step 4: Simplify right side
    17,205.68x = 240,579,187.53
  5. Step 5: Solve for x
    x = 240,579,187.53/17,205.68
  6. Step 6: Final answer
    x = 13,982.54

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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.