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Finding the Fourth Proportional to 14,537.20, 21,813 and 5,771.92

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Solution

The fourth proportional to 14,537.20, 21,813 and 5,771.92 is: 8,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.20 : 21,813 = 5,771.92 : x
  2. Step 2: Convert to fraction form
    14,537.20/21,813 = 5,771.92/x
  3. Step 3: Cross multiply
    14,537.20x = 21,813 × 5,771.92
  4. Step 4: Simplify right side
    14,537.20x = 125,902,890.96
  5. Step 5: Solve for x
    x = 125,902,890.96/14,537.20
  6. Step 6: Final answer
    x = 8,660.74

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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.