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Finding the Fourth Proportional to 13,771.84, 20,657.58 and 3,383.50

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Solution

The fourth proportional to 13,771.84, 20,657.58 and 3,383.50 is: 5,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.84 : 20,657.58 = 3,383.50 : x
  2. Step 2: Convert to fraction form
    13,771.84/20,657.58 = 3,383.50/x
  3. Step 3: Cross multiply
    13,771.84x = 20,657.58 × 3,383.50
  4. Step 4: Simplify right side
    13,771.84x = 69,894,921.93
  5. Step 5: Solve for x
    x = 69,894,921.93/13,771.84
  6. Step 6: Final answer
    x = 5,075.21

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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.