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Finding the Fourth Proportional to 18,096.84, 27,098.26 and 12,491.82

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Solution

The fourth proportional to 18,096.84, 27,098.26 and 12,491.82 is: 18,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096.84 : 27,098.26 = 12,491.82 : x
  2. Step 2: Convert to fraction form
    18,096.84/27,098.26 = 12,491.82/x
  3. Step 3: Cross multiply
    18,096.84x = 27,098.26 × 12,491.82
  4. Step 4: Simplify right side
    18,096.84x = 338,506,586.23
  5. Step 5: Solve for x
    x = 338,506,586.23/18,096.84
  6. Step 6: Final answer
    x = 18,705.29

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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.