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Finding the Fourth Proportional to 13,729.64, 20,595.67 and 3,868.90

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Solution

The fourth proportional to 13,729.64, 20,595.67 and 3,868.90 is: 5,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.64 : 20,595.67 = 3,868.90 : x
  2. Step 2: Convert to fraction form
    13,729.64/20,595.67 = 3,868.90/x
  3. Step 3: Cross multiply
    13,729.64x = 20,595.67 × 3,868.90
  4. Step 4: Simplify right side
    13,729.64x = 79,682,526.50
  5. Step 5: Solve for x
    x = 79,682,526.50/13,729.64
  6. Step 6: Final answer
    x = 5,803.69

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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.