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Finding the Fourth Proportional to 18,304, 27,454.62 and 5,823.52

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Solution

The fourth proportional to 18,304, 27,454.62 and 5,823.52 is: 8,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,304 : 27,454.62 = 5,823.52 : x
  2. Step 2: Convert to fraction form
    18,304/27,454.62 = 5,823.52/x
  3. Step 3: Cross multiply
    18,304x = 27,454.62 × 5,823.52
  4. Step 4: Simplify right side
    18,304x = 159,882,528.66
  5. Step 5: Solve for x
    x = 159,882,528.66/18,304
  6. Step 6: Final answer
    x = 8,734.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.