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Finding the Fourth Proportional to 18,597.76, 27,906.24 and 12,362.08

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Solution

The fourth proportional to 18,597.76, 27,906.24 and 12,362.08 is: 18,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,597.76 : 27,906.24 = 12,362.08 : x
  2. Step 2: Convert to fraction form
    18,597.76/27,906.24 = 12,362.08/x
  3. Step 3: Cross multiply
    18,597.76x = 27,906.24 × 12,362.08
  4. Step 4: Simplify right side
    18,597.76x = 344,979,171.38
  5. Step 5: Solve for x
    x = 344,979,171.38/18,597.76
  6. Step 6: Final answer
    x = 18,549.50

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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.