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Finding the Fourth Proportional to 13,367, 20,051.64 and 3,506.24

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Solution

The fourth proportional to 13,367, 20,051.64 and 3,506.24 is: 5,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367 : 20,051.64 = 3,506.24 : x
  2. Step 2: Convert to fraction form
    13,367/20,051.64 = 3,506.24/x
  3. Step 3: Cross multiply
    13,367x = 20,051.64 × 3,506.24
  4. Step 4: Simplify right side
    13,367x = 70,305,862.23
  5. Step 5: Solve for x
    x = 70,305,862.23/13,367
  6. Step 6: Final answer
    x = 5,259.66

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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.