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Finding the Fourth Proportional to 14,813, 22,230.42 and 7,021.84

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Solution

The fourth proportional to 14,813, 22,230.42 and 7,021.84 is: 10,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813 : 22,230.42 = 7,021.84 : x
  2. Step 2: Convert to fraction form
    14,813/22,230.42 = 7,021.84/x
  3. Step 3: Cross multiply
    14,813x = 22,230.42 × 7,021.84
  4. Step 4: Simplify right side
    14,813x = 156,098,452.37
  5. Step 5: Solve for x
    x = 156,098,452.37/14,813
  6. Step 6: Final answer
    x = 10,537.94

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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.