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Finding the Fourth Proportional to 20,075.80, 27,705.34 and 12,116.49

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Solution

The fourth proportional to 20,075.80, 27,705.34 and 12,116.49 is: 16,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.80 : 27,705.34 = 12,116.49 : x
  2. Step 2: Convert to fraction form
    20,075.80/27,705.34 = 12,116.49/x
  3. Step 3: Cross multiply
    20,075.80x = 27,705.34 × 12,116.49
  4. Step 4: Simplify right side
    20,075.80x = 335,691,386.31
  5. Step 5: Solve for x
    x = 335,691,386.31/20,075.80
  6. Step 6: Final answer
    x = 16,721.20

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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.