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Finding the Fourth Proportional to 20,509.69, 28,303.38 and 11,078.25

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Solution

The fourth proportional to 20,509.69, 28,303.38 and 11,078.25 is: 15,287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.69 : 28,303.38 = 11,078.25 : x
  2. Step 2: Convert to fraction form
    20,509.69/28,303.38 = 11,078.25/x
  3. Step 3: Cross multiply
    20,509.69x = 28,303.38 × 11,078.25
  4. Step 4: Simplify right side
    20,509.69x = 313,551,919.49
  5. Step 5: Solve for x
    x = 313,551,919.49/20,509.69
  6. Step 6: Final answer
    x = 15,287.99

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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.