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Finding the Fourth Proportional to 14,462.52, 21,678.99 and 8,209.32

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Solution

The fourth proportional to 14,462.52, 21,678.99 and 8,209.32 is: 12,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.52 : 21,678.99 = 8,209.32 : x
  2. Step 2: Convert to fraction form
    14,462.52/21,678.99 = 8,209.32/x
  3. Step 3: Cross multiply
    14,462.52x = 21,678.99 × 8,209.32
  4. Step 4: Simplify right side
    14,462.52x = 177,969,766.19
  5. Step 5: Solve for x
    x = 177,969,766.19/14,462.52
  6. Step 6: Final answer
    x = 12,305.58

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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.