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Finding the Fourth Proportional to 20,359.72, 28,089.96 and 11,405.80

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Solution

The fourth proportional to 20,359.72, 28,089.96 and 11,405.80 is: 15,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,359.72 : 28,089.96 = 11,405.80 : x
  2. Step 2: Convert to fraction form
    20,359.72/28,089.96 = 11,405.80/x
  3. Step 3: Cross multiply
    20,359.72x = 28,089.96 × 11,405.80
  4. Step 4: Simplify right side
    20,359.72x = 320,388,465.77
  5. Step 5: Solve for x
    x = 320,388,465.77/20,359.72
  6. Step 6: Final answer
    x = 15,736.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.