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Finding the Fourth Proportional to 13,524.97, 20,287.46 and 4,290.25

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Solution

The fourth proportional to 13,524.97, 20,287.46 and 4,290.25 is: 6,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.97 : 20,287.46 = 4,290.25 : x
  2. Step 2: Convert to fraction form
    13,524.97/20,287.46 = 4,290.25/x
  3. Step 3: Cross multiply
    13,524.97x = 20,287.46 × 4,290.25
  4. Step 4: Simplify right side
    13,524.97x = 87,038,253.81
  5. Step 5: Solve for x
    x = 87,038,253.81/13,524.97
  6. Step 6: Final answer
    x = 6,435.38

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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.