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Finding the Fourth Proportional to 14,662.84, 21,996.24 and 4,274.50

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Solution

The fourth proportional to 14,662.84, 21,996.24 and 4,274.50 is: 6,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.84 : 21,996.24 = 4,274.50 : x
  2. Step 2: Convert to fraction form
    14,662.84/21,996.24 = 4,274.50/x
  3. Step 3: Cross multiply
    14,662.84x = 21,996.24 × 4,274.50
  4. Step 4: Simplify right side
    14,662.84x = 94,022,927.88
  5. Step 5: Solve for x
    x = 94,022,927.88/14,662.84
  6. Step 6: Final answer
    x = 6,412.33

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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.