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Finding the Fourth Proportional to 20,026.52, 30,038.10 and 6,175.64

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Solution

The fourth proportional to 20,026.52, 30,038.10 and 6,175.64 is: 9,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026.52 : 30,038.10 = 6,175.64 : x
  2. Step 2: Convert to fraction form
    20,026.52/30,038.10 = 6,175.64/x
  3. Step 3: Cross multiply
    20,026.52x = 30,038.10 × 6,175.64
  4. Step 4: Simplify right side
    20,026.52x = 185,504,491.88
  5. Step 5: Solve for x
    x = 185,504,491.88/20,026.52
  6. Step 6: Final answer
    x = 9,262.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.