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Finding the Fourth Proportional to 20,878.58, 31,321.11 and 7,026.50

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Solution

The fourth proportional to 20,878.58, 31,321.11 and 7,026.50 is: 10,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.58 : 31,321.11 = 7,026.50 : x
  2. Step 2: Convert to fraction form
    20,878.58/31,321.11 = 7,026.50/x
  3. Step 3: Cross multiply
    20,878.58x = 31,321.11 × 7,026.50
  4. Step 4: Simplify right side
    20,878.58x = 220,077,779.42
  5. Step 5: Solve for x
    x = 220,077,779.42/20,878.58
  6. Step 6: Final answer
    x = 10,540.84

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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.