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Finding the Fourth Proportional to 12,939.03, 17,850.24 and 8,220.78

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Solution

The fourth proportional to 12,939.03, 17,850.24 and 8,220.78 is: 11,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.03 : 17,850.24 = 8,220.78 : x
  2. Step 2: Convert to fraction form
    12,939.03/17,850.24 = 8,220.78/x
  3. Step 3: Cross multiply
    12,939.03x = 17,850.24 × 8,220.78
  4. Step 4: Simplify right side
    12,939.03x = 146,742,895.99
  5. Step 5: Solve for x
    x = 146,742,895.99/12,939.03
  6. Step 6: Final answer
    x = 11,341.10

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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.