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Finding the Fourth Proportional to 14,147.43, 19,512.18 and 9,112.07

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Solution

The fourth proportional to 14,147.43, 19,512.18 and 9,112.07 is: 12,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.43 : 19,512.18 = 9,112.07 : x
  2. Step 2: Convert to fraction form
    14,147.43/19,512.18 = 9,112.07/x
  3. Step 3: Cross multiply
    14,147.43x = 19,512.18 × 9,112.07
  4. Step 4: Simplify right side
    14,147.43x = 177,796,252.45
  5. Step 5: Solve for x
    x = 177,796,252.45/14,147.43
  6. Step 6: Final answer
    x = 12,567.39

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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.