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Finding the Fourth Proportional to 18,473.61, 27,693.10 and 6,784.10

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Solution

The fourth proportional to 18,473.61, 27,693.10 and 6,784.10 is: 10,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,473.61 : 27,693.10 = 6,784.10 : x
  2. Step 2: Convert to fraction form
    18,473.61/27,693.10 = 6,784.10/x
  3. Step 3: Cross multiply
    18,473.61x = 27,693.10 × 6,784.10
  4. Step 4: Simplify right side
    18,473.61x = 187,872,604.28
  5. Step 5: Solve for x
    x = 187,872,604.28/18,473.61
  6. Step 6: Final answer
    x = 10,169.78

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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.