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Finding the Fourth Proportional to 20,880.58, 31,324.12 and 7,028.50

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Solution

The fourth proportional to 20,880.58, 31,324.12 and 7,028.50 is: 10,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880.58 : 31,324.12 = 7,028.50 : x
  2. Step 2: Convert to fraction form
    20,880.58/31,324.12 = 7,028.50/x
  3. Step 3: Cross multiply
    20,880.58x = 31,324.12 × 7,028.50
  4. Step 4: Simplify right side
    20,880.58x = 220,161,577.42
  5. Step 5: Solve for x
    x = 220,161,577.42/20,880.58
  6. Step 6: Final answer
    x = 10,543.84

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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.