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Finding the Fourth Proportional to 14,223.22, 21,342.03 and 9,596.50

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Solution

The fourth proportional to 14,223.22, 21,342.03 and 9,596.50 is: 14,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.22 : 21,342.03 = 9,596.50 : x
  2. Step 2: Convert to fraction form
    14,223.22/21,342.03 = 9,596.50/x
  3. Step 3: Cross multiply
    14,223.22x = 21,342.03 × 9,596.50
  4. Step 4: Simplify right side
    14,223.22x = 204,808,790.90
  5. Step 5: Solve for x
    x = 204,808,790.90/14,223.22
  6. Step 6: Final answer
    x = 14,399.61

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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.