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Finding the Fourth Proportional to 12,809.12, 17,679 and 7,220.12

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Solution

The fourth proportional to 12,809.12, 17,679 and 7,220.12 is: 9,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.12 : 17,679 = 7,220.12 : x
  2. Step 2: Convert to fraction form
    12,809.12/17,679 = 7,220.12/x
  3. Step 3: Cross multiply
    12,809.12x = 17,679 × 7,220.12
  4. Step 4: Simplify right side
    12,809.12x = 127,644,501.48
  5. Step 5: Solve for x
    x = 127,644,501.48/12,809.12
  6. Step 6: Final answer
    x = 9,965.13

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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.