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Finding the Fourth Proportional to 14,791.45, 20,411.38 and 8,075.74

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Solution

The fourth proportional to 14,791.45, 20,411.38 and 8,075.74 is: 11,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.45 : 20,411.38 = 8,075.74 : x
  2. Step 2: Convert to fraction form
    14,791.45/20,411.38 = 8,075.74/x
  3. Step 3: Cross multiply
    14,791.45x = 20,411.38 × 8,075.74
  4. Step 4: Simplify right side
    14,791.45x = 164,836,997.92
  5. Step 5: Solve for x
    x = 164,836,997.92/14,791.45
  6. Step 6: Final answer
    x = 11,144.07

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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.