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Finding the Fourth Proportional to 14,568.86, 21,853.38 and 4,180.64

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Solution

The fourth proportional to 14,568.86, 21,853.38 and 4,180.64 is: 6,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.86 : 21,853.38 = 4,180.64 : x
  2. Step 2: Convert to fraction form
    14,568.86/21,853.38 = 4,180.64/x
  3. Step 3: Cross multiply
    14,568.86x = 21,853.38 × 4,180.64
  4. Step 4: Simplify right side
    14,568.86x = 91,361,114.56
  5. Step 5: Solve for x
    x = 91,361,114.56/14,568.86
  6. Step 6: Final answer
    x = 6,270.99

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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.