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Finding the Fourth Proportional to 20,803.95, 31,203.90 and 8,320.50

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Solution

The fourth proportional to 20,803.95, 31,203.90 and 8,320.50 is: 12,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.95 : 31,203.90 = 8,320.50 : x
  2. Step 2: Convert to fraction form
    20,803.95/31,203.90 = 8,320.50/x
  3. Step 3: Cross multiply
    20,803.95x = 31,203.90 × 8,320.50
  4. Step 4: Simplify right side
    20,803.95x = 259,632,049.95
  5. Step 5: Solve for x
    x = 259,632,049.95/20,803.95
  6. Step 6: Final answer
    x = 12,479.94

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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.