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Finding the Fourth Proportional to 18,549.41, 27,837.78 and 13,632.30

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Solution

The fourth proportional to 18,549.41, 27,837.78 and 13,632.30 is: 20,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.41 : 27,837.78 = 13,632.30 : x
  2. Step 2: Convert to fraction form
    18,549.41/27,837.78 = 13,632.30/x
  3. Step 3: Cross multiply
    18,549.41x = 27,837.78 × 13,632.30
  4. Step 4: Simplify right side
    18,549.41x = 379,492,917.17
  5. Step 5: Solve for x
    x = 379,492,917.17/18,549.41
  6. Step 6: Final answer
    x = 20,458.50

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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.