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Finding the Fourth Proportional to 30,882.84, 42,614.91 and 17,454.09

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Solution

The fourth proportional to 30,882.84, 42,614.91 and 17,454.09 is: 24,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.84 : 42,614.91 = 17,454.09 : x
  2. Step 2: Convert to fraction form
    30,882.84/42,614.91 = 17,454.09/x
  3. Step 3: Cross multiply
    30,882.84x = 42,614.91 × 17,454.09
  4. Step 4: Simplify right side
    30,882.84x = 743,804,474.48
  5. Step 5: Solve for x
    x = 743,804,474.48/30,882.84
  6. Step 6: Final answer
    x = 24,084.72

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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.