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Finding the Fourth Proportional to 30,715.33, 42,387.11 and 17,286.68

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Solution

The fourth proportional to 30,715.33, 42,387.11 and 17,286.68 is: 23,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.33 : 42,387.11 = 17,286.68 : x
  2. Step 2: Convert to fraction form
    30,715.33/42,387.11 = 17,286.68/x
  3. Step 3: Cross multiply
    30,715.33x = 42,387.11 × 17,286.68
  4. Step 4: Simplify right side
    30,715.33x = 732,732,108.33
  5. Step 5: Solve for x
    x = 732,732,108.33/30,715.33
  6. Step 6: Final answer
    x = 23,855.59

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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.