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Finding the Fourth Proportional to 14,185.32, 21,273.66 and 8,025

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Solution

The fourth proportional to 14,185.32, 21,273.66 and 8,025 is: 12,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.32 : 21,273.66 = 8,025 : x
  2. Step 2: Convert to fraction form
    14,185.32/21,273.66 = 8,025/x
  3. Step 3: Cross multiply
    14,185.32x = 21,273.66 × 8,025
  4. Step 4: Simplify right side
    14,185.32x = 170,721,121.50
  5. Step 5: Solve for x
    x = 170,721,121.50/14,185.32
  6. Step 6: Final answer
    x = 12,035.06

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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.