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Finding the Fourth Proportional to 18,684.38, 25,784.45 and 10,727.12

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Solution

The fourth proportional to 18,684.38, 25,784.45 and 10,727.12 is: 14,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.38 : 25,784.45 = 10,727.12 : x
  2. Step 2: Convert to fraction form
    18,684.38/25,784.45 = 10,727.12/x
  3. Step 3: Cross multiply
    18,684.38x = 25,784.45 × 10,727.12
  4. Step 4: Simplify right side
    18,684.38x = 276,592,706.73
  5. Step 5: Solve for x
    x = 276,592,706.73/18,684.38
  6. Step 6: Final answer
    x = 14,803.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.