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Finding the Fourth Proportional to 14,425.43, 21,634.43 and 5,660.42

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Solution

The fourth proportional to 14,425.43, 21,634.43 and 5,660.42 is: 8,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.43 : 21,634.43 = 5,660.42 : x
  2. Step 2: Convert to fraction form
    14,425.43/21,634.43 = 5,660.42/x
  3. Step 3: Cross multiply
    14,425.43x = 21,634.43 × 5,660.42
  4. Step 4: Simplify right side
    14,425.43x = 122,459,823.79
  5. Step 5: Solve for x
    x = 122,459,823.79/14,425.43
  6. Step 6: Final answer
    x = 8,489.17

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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.