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Finding the Fourth Proportional to 16,264.37, 22,445.08 and 9,550.14

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Solution

The fourth proportional to 16,264.37, 22,445.08 and 9,550.14 is: 13,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.37 : 22,445.08 = 9,550.14 : x
  2. Step 2: Convert to fraction form
    16,264.37/22,445.08 = 9,550.14/x
  3. Step 3: Cross multiply
    16,264.37x = 22,445.08 × 9,550.14
  4. Step 4: Simplify right side
    16,264.37x = 214,353,632.44
  5. Step 5: Solve for x
    x = 214,353,632.44/16,264.37
  6. Step 6: Final answer
    x = 13,179.34

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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.