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Finding the Fourth Proportional to 13,471.50, 20,209.52 and 6,075.80

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Solution

The fourth proportional to 13,471.50, 20,209.52 and 6,075.80 is: 9,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.50 : 20,209.52 = 6,075.80 : x
  2. Step 2: Convert to fraction form
    13,471.50/20,209.52 = 6,075.80/x
  3. Step 3: Cross multiply
    13,471.50x = 20,209.52 × 6,075.80
  4. Step 4: Simplify right side
    13,471.50x = 122,789,001.62
  5. Step 5: Solve for x
    x = 122,789,001.62/13,471.50
  6. Step 6: Final answer
    x = 9,114.72

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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.