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Finding the Fourth Proportional to 13,809.97, 20,725.89 and 6,024.25

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Solution

The fourth proportional to 13,809.97, 20,725.89 and 6,024.25 is: 9,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.97 : 20,725.89 = 6,024.25 : x
  2. Step 2: Convert to fraction form
    13,809.97/20,725.89 = 6,024.25/x
  3. Step 3: Cross multiply
    13,809.97x = 20,725.89 × 6,024.25
  4. Step 4: Simplify right side
    13,809.97x = 124,857,942.83
  5. Step 5: Solve for x
    x = 124,857,942.83/13,809.97
  6. Step 6: Final answer
    x = 9,041.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.