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Finding the Fourth Proportional to 20,578.99, 30,909.83 and 12,275.22

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Solution

The fourth proportional to 20,578.99, 30,909.83 and 12,275.22 is: 18,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.99 : 30,909.83 = 12,275.22 : x
  2. Step 2: Convert to fraction form
    20,578.99/30,909.83 = 12,275.22/x
  3. Step 3: Cross multiply
    20,578.99x = 30,909.83 × 12,275.22
  4. Step 4: Simplify right side
    20,578.99x = 379,424,965.54
  5. Step 5: Solve for x
    x = 379,424,965.54/20,578.99
  6. Step 6: Final answer
    x = 18,437.50

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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.