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Finding the Fourth Proportional to 14,384.23, 19,850.31 and 8,414.74

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Solution

The fourth proportional to 14,384.23, 19,850.31 and 8,414.74 is: 11,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.23 : 19,850.31 = 8,414.74 : x
  2. Step 2: Convert to fraction form
    14,384.23/19,850.31 = 8,414.74/x
  3. Step 3: Cross multiply
    14,384.23x = 19,850.31 × 8,414.74
  4. Step 4: Simplify right side
    14,384.23x = 167,035,197.57
  5. Step 5: Solve for x
    x = 167,035,197.57/14,384.23
  6. Step 6: Final answer
    x = 11,612.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.