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Finding the Fourth Proportional to 16,274.17, 22,460.74 and 10,306.39

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Solution

The fourth proportional to 16,274.17, 22,460.74 and 10,306.39 is: 14,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.17 : 22,460.74 = 10,306.39 : x
  2. Step 2: Convert to fraction form
    16,274.17/22,460.74 = 10,306.39/x
  3. Step 3: Cross multiply
    16,274.17x = 22,460.74 × 10,306.39
  4. Step 4: Simplify right side
    16,274.17x = 231,489,164.30
  5. Step 5: Solve for x
    x = 231,489,164.30/16,274.17
  6. Step 6: Final answer
    x = 14,224.33

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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.