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Finding the Fourth Proportional to 18,624.14, 27,935.58 and 8,094.16

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Solution

The fourth proportional to 18,624.14, 27,935.58 and 8,094.16 is: 12,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,624.14 : 27,935.58 = 8,094.16 : x
  2. Step 2: Convert to fraction form
    18,624.14/27,935.58 = 8,094.16/x
  3. Step 3: Cross multiply
    18,624.14x = 27,935.58 × 8,094.16
  4. Step 4: Simplify right side
    18,624.14x = 226,114,914.53
  5. Step 5: Solve for x
    x = 226,114,914.53/18,624.14
  6. Step 6: Final answer
    x = 12,140.96

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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.