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Finding the Fourth Proportional to 14,696.33, 22,048.28 and 6,374.44

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Solution

The fourth proportional to 14,696.33, 22,048.28 and 6,374.44 is: 9,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.33 : 22,048.28 = 6,374.44 : x
  2. Step 2: Convert to fraction form
    14,696.33/22,048.28 = 6,374.44/x
  3. Step 3: Cross multiply
    14,696.33x = 22,048.28 × 6,374.44
  4. Step 4: Simplify right side
    14,696.33x = 140,545,369.39
  5. Step 5: Solve for x
    x = 140,545,369.39/14,696.33
  6. Step 6: Final answer
    x = 9,563.30

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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.