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Finding the Fourth Proportional to 20,509.88, 28,303.64 and 11,078.44

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Solution

The fourth proportional to 20,509.88, 28,303.64 and 11,078.44 is: 15,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.88 : 28,303.64 = 11,078.44 : x
  2. Step 2: Convert to fraction form
    20,509.88/28,303.64 = 11,078.44/x
  3. Step 3: Cross multiply
    20,509.88x = 28,303.64 × 11,078.44
  4. Step 4: Simplify right side
    20,509.88x = 313,560,092.91
  5. Step 5: Solve for x
    x = 313,560,092.91/20,509.88
  6. Step 6: Final answer
    x = 15,288.25

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