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Finding the Fourth Proportional to 18,411.69, 27,631.53 and 13,494.18

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Solution

The fourth proportional to 18,411.69, 27,631.53 and 13,494.18 is: 20,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411.69 : 27,631.53 = 13,494.18 : x
  2. Step 2: Convert to fraction form
    18,411.69/27,631.53 = 13,494.18/x
  3. Step 3: Cross multiply
    18,411.69x = 27,631.53 × 13,494.18
  4. Step 4: Simplify right side
    18,411.69x = 372,864,839.50
  5. Step 5: Solve for x
    x = 372,864,839.50/18,411.69
  6. Step 6: Final answer
    x = 20,251.53

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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.