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Finding the Fourth Proportional to 13,817.52, 20,720.88 and 6,021

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Solution

The fourth proportional to 13,817.52, 20,720.88 and 6,021 is: 9,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.52 : 20,720.88 = 6,021 : x
  2. Step 2: Convert to fraction form
    13,817.52/20,720.88 = 6,021/x
  3. Step 3: Cross multiply
    13,817.52x = 20,720.88 × 6,021
  4. Step 4: Simplify right side
    13,817.52x = 124,760,418.48
  5. Step 5: Solve for x
    x = 124,760,418.48/13,817.52
  6. Step 6: Final answer
    x = 9,029.15

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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.