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Finding the Fourth Proportional to 14,048.38, 21,072.48 and 8,241.82

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Solution

The fourth proportional to 14,048.38, 21,072.48 and 8,241.82 is: 12,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.38 : 21,072.48 = 8,241.82 : x
  2. Step 2: Convert to fraction form
    14,048.38/21,072.48 = 8,241.82/x
  3. Step 3: Cross multiply
    14,048.38x = 21,072.48 × 8,241.82
  4. Step 4: Simplify right side
    14,048.38x = 173,675,587.11
  5. Step 5: Solve for x
    x = 173,675,587.11/14,048.38
  6. Step 6: Final answer
    x = 12,362.68

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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.