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Finding the Fourth Proportional to 13,357.26, 20,051.40 and 7,814.64

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Solution

The fourth proportional to 13,357.26, 20,051.40 and 7,814.64 is: 11,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.26 : 20,051.40 = 7,814.64 : x
  2. Step 2: Convert to fraction form
    13,357.26/20,051.40 = 7,814.64/x
  3. Step 3: Cross multiply
    13,357.26x = 20,051.40 × 7,814.64
  4. Step 4: Simplify right side
    13,357.26x = 156,694,472.50
  5. Step 5: Solve for x
    x = 156,694,472.50/13,357.26
  6. Step 6: Final answer
    x = 11,731.03

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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.