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Finding the Fourth Proportional to 13,653.22, 20,497.12 and 8,375.26

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Solution

The fourth proportional to 13,653.22, 20,497.12 and 8,375.26 is: 12,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.22 : 20,497.12 = 8,375.26 : x
  2. Step 2: Convert to fraction form
    13,653.22/20,497.12 = 8,375.26/x
  3. Step 3: Cross multiply
    13,653.22x = 20,497.12 × 8,375.26
  4. Step 4: Simplify right side
    13,653.22x = 171,668,709.25
  5. Step 5: Solve for x
    x = 171,668,709.25/13,653.22
  6. Step 6: Final answer
    x = 12,573.50

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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.