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Finding the Fourth Proportional to 17,538.68, 24,202.04 and 10,821.75

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Solution

The fourth proportional to 17,538.68, 24,202.04 and 10,821.75 is: 14,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.68 : 24,202.04 = 10,821.75 : x
  2. Step 2: Convert to fraction form
    17,538.68/24,202.04 = 10,821.75/x
  3. Step 3: Cross multiply
    17,538.68x = 24,202.04 × 10,821.75
  4. Step 4: Simplify right side
    17,538.68x = 261,908,372.26
  5. Step 5: Solve for x
    x = 261,908,372.26/17,538.68
  6. Step 6: Final answer
    x = 14,933.19

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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.