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Finding the Fourth Proportional to 14,394.32, 21,591.48 and 8,234

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Solution

The fourth proportional to 14,394.32, 21,591.48 and 8,234 is: 12,351

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394.32 : 21,591.48 = 8,234 : x
  2. Step 2: Convert to fraction form
    14,394.32/21,591.48 = 8,234/x
  3. Step 3: Cross multiply
    14,394.32x = 21,591.48 × 8,234
  4. Step 4: Simplify right side
    14,394.32x = 177,784,246.32
  5. Step 5: Solve for x
    x = 177,784,246.32/14,394.32
  6. Step 6: Final answer
    x = 12,351

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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.