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Finding the Fourth Proportional to 14,434.73, 21,627.45 and 7,849.16

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Solution

The fourth proportional to 14,434.73, 21,627.45 and 7,849.16 is: 11,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.73 : 21,627.45 = 7,849.16 : x
  2. Step 2: Convert to fraction form
    14,434.73/21,627.45 = 7,849.16/x
  3. Step 3: Cross multiply
    14,434.73x = 21,627.45 × 7,849.16
  4. Step 4: Simplify right side
    14,434.73x = 169,757,315.44
  5. Step 5: Solve for x
    x = 169,757,315.44/14,434.73
  6. Step 6: Final answer
    x = 11,760.34

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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.