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Finding the Fourth Proportional to 13,383.80, 20,075.08 and 5,592

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Solution

The fourth proportional to 13,383.80, 20,075.08 and 5,592 is: 8,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.80 : 20,075.08 = 5,592 : x
  2. Step 2: Convert to fraction form
    13,383.80/20,075.08 = 5,592/x
  3. Step 3: Cross multiply
    13,383.80x = 20,075.08 × 5,592
  4. Step 4: Simplify right side
    13,383.80x = 112,259,847.36
  5. Step 5: Solve for x
    x = 112,259,847.36/13,383.80
  6. Step 6: Final answer
    x = 8,387.74

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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.