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Finding the Fourth Proportional to 14,182.72, 21,275.49 and 5,425

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Solution

The fourth proportional to 14,182.72, 21,275.49 and 5,425 is: 8,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.72 : 21,275.49 = 5,425 : x
  2. Step 2: Convert to fraction form
    14,182.72/21,275.49 = 5,425/x
  3. Step 3: Cross multiply
    14,182.72x = 21,275.49 × 5,425
  4. Step 4: Simplify right side
    14,182.72x = 115,419,533.25
  5. Step 5: Solve for x
    x = 115,419,533.25/14,182.72
  6. Step 6: Final answer
    x = 8,138.04

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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.