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Finding the Fourth Proportional to 14,435.37, 19,922.45 and 8,147.25

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Solution

The fourth proportional to 14,435.37, 19,922.45 and 8,147.25 is: 11,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.37 : 19,922.45 = 8,147.25 : x
  2. Step 2: Convert to fraction form
    14,435.37/19,922.45 = 8,147.25/x
  3. Step 3: Cross multiply
    14,435.37x = 19,922.45 × 8,147.25
  4. Step 4: Simplify right side
    14,435.37x = 162,313,140.03
  5. Step 5: Solve for x
    x = 162,313,140.03/14,435.37
  6. Step 6: Final answer
    x = 11,244.13

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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.